can an inner product space v have a t invariant subspace U but also have an orthogonal complement that is NOT t-invariant???

12,215 results
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  2. Algebra

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  6. calculus

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  8. math- im really confused! please help!!

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  9. math

    I AM VERY BAD AT MATH , CAN SOMEONE PLEASE HELP ME !? PLEASE PLEASE The chart below shows the average number of movies seen per person in selected countries. A chart is shown with 2 columns.The first column is titled Country. The second column is titled

  10. Math

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  11. AP Calculus

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  12. Calculus

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  13. algebra

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  14. maths

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  15. ALGEBRA

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  16. Linear Algebra - Vector Spaces and Vector Subspace

    Can I have help with the following question related to the concept vector 'subspaces'? Question : Let X and Y be vector subspaces of a vector space V over a field F, (V,+,•,F). Prove that the intersection of X and Y is also a vector subspace of V. (1)So

  17. math

    Find an orthonormal basis for the subspace of R^3 consisting of all vectors(a, b, c) such that a+b+c = 0. The subspace is two-dimensional, so you can solve the problem by finding one vector that satisfies the equation and then by constructing another

  18. Pre-Calculus (absolute values)

    I want to find the invariant points( points that are fixed) algrebraically of x^2 - 25 and its reciprocal. Would I set up my equation like this? 0 = x^2 -25 or 0 = 1/ x^2 - 25 Thanks

  19. Calculus

    In the space below, provide the larger of the positive integers that add to 10 and have the largest possible product

  20. Macroecon

    An increase in supply of a product results when __________. : taxes on the product are increased the companies that produce the product have higher materials costs technological innovations are introduced in the manufacturing process the government reduces

  21. linear algebra

    Show that a subset W of a vector space V is a subspace of V if and only if the following condition holds: If u and v are any vectors in W and a and b are any scalars, then au + bv is in W.

  22. Machine Learning

    In machine-learning problem space can be represented through concept space, instance space version space and hypothesis space. These problem spaces used the conjunctive space and is very restrictive one and also in the above-mentioned representations of

  23. Math

    Sketch the graph of f(x)=x^2-4 and y=1/f(x) on the grid provided. label the asymptotes, the invariant points and the intercepts of y=1/f(x)

  24. physics

    The magnitude of the scalar product of vectors A and B is three times as large as the magnitude of the vector product of the same two vectors. If they were placed tail-to-tail in space, A and B would form an angle of approximately how much?

  25. PLEASE HELP-PHYSICS HW

    A 130 kg astronaut (including space suit) acquires a speed of 2.80 m/s by pushing off with his legs from an 2000 kg space capsule. What is the change in speed of the space capsule? As the reference frame, use the position of the space capsule before the

  26. Physics

    A 120 kg astronaut (including space suit) acquires a speed of 3.00 m/s by pushing off with his legs from an 1900 kg space capsule. What is the change in speed of the space capsule? As the reference frame, use the position of the space capsule before the

  27. Entrepreneurship

    1. If a product becomes more easily available, what is likely to happen? A) The product will get more competitors. B) The cost of making the product will increase. C) The product will become a consumer good. D) The price will go down. Is the answer D? I'm

  28. statistics

    2. Suppose that the average product of labor increases as more workers are hired. Which of the following must be true? a. Marginal product is greater than average product. b. Marginal product is increasing. c. Marginal product is decreasing. d. Marginal

  29. Macroeconomic

    Suppose that a market for a product is in equilibrium at a price of $5 per unit. At any price above $5 per unit. A. There will be an excess demand for the product. B. There will be an excess supply of the product. C. The quantity supplied of the product

  30. Linear Programming

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  31. Physics

    Futurists project large space stations which would rotate so as to use centripetal acceleration to simulate gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor

  32. math

    Find the two numbers that multiply to the product number and add to the sum number of the following: a)Product 563033256; Sum 51895 b)Product -43481220; Sum 28429 c)Product 2545124358; Sum -105619 I tried xy = product and x+y = sum, but it didn't work

  33. MATH

    Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. a) Find the product. ( − 1 . 15 ) ⋅ 3 . 2 b) Explain in words how you determined the sign of your answer.

  34. math

    can an inner product space v have a t invariant subspace U but also have an orthogonal complement that is NOT t-invariant???

  35. math

    Prove that if A is a symmetric n x n matrix, then A has a set of n orthonormal eigenvectors. http://ltcconline.net/greenl/courses/203/MatrixOnVectors/symmetricMatrices.htm I've read the entire page and while it's on the correct topic, it doesn't prove what

  36. Math Elementary Linear Algebra

    determine whether or not the given set forms a basis for the indicated subspace: #1 {1,1,0), (1,1,1)} for the subspace of R^3 of all (x,y,z) such that y= x+z #2 {[1,2,-1,3), (0,0,0,0)} for the subspace of R^4 of all vectors of the form (a,b, a-b,a+b) and

  37. Algebra

    How would you prove this theorem: The column space of an m x n matrix A is a subspace of R^m by using this definition: A subspace of a vector space V is a subset H of V that has three properties: a) the zero vector of V is in H. b) H is closed under vector

  38. math

    There is one step in a proof that I don't understand. Could someone please explain? u = any vector in vector space S W = finite dimensional subspace of S with orthonormal basis of vectors {v1, v2, ..., vn} The theorem to prove is: u can be expressed

  39. Linear Algebra

    1/ Prove that the set V=R+ ( the set of all positive real numbers) is a vector space with the following nonstandard operations: for any x,y belong to R+ & for any scalar c belong to R: x O+ ( +signal into circle) y=x.y (definition of vector addition) & c O

  40. Math

    Let V and W be vector spaces and assume that T be a linear mapping from V to W. (a) Show that ker(T) is a subspace of V . (b) Show that range(T) is a subspace of W.

  41. Linear Algebra

    V = Mnxn is a space vector formed by all the square matrices. Is W = {A in Mnxn : A^x = A} a subspace of V? Thanks

  42. Math

    Went ahead and did the HW the teach recommended but she did not post the answers and I would like to see if im on the right track. Problem 1: Are the vectors (2,−1,−3), (3, 0,−2), (1, 1,−4) linearly independent? Problem 2 : Is the set {x E R^4 :

  43. Math

    1. P5 is an innerproduct space with an inner product. We applied the Gram Schmidt process tot he basis {1,x,x^2,x^3,x^4} and obtained the following as the result {f1,f2,f3,f4,x^4+2}. a. What is the orthogonal complement of P3 in P5 with erspect to this

  44. math question

    how is this not a subspace of R3? The set of all vectors of the form a b c , where a > 0.

  45. Linear Algebra

    determine whether x=[2,3,4]+t1[1,1,1]+t2[1,2,3] is a subspace of R3 I honestly don't even know where to start. Please, help

  46. Math

    Dylan plants grass in a rectangle space behind the clump house.nthe area of the space was 70 ft. If the length of the space is 14 ft. What's the width of the space

  47. Calculas

    W= [ a , a+b ] (2x2 matrix) a-b , b a, b are element of R Show that W is a Subspace of M22?

  48. Linear Algebra

    W= [ a , a+b ] (2x2 matrix) [a-b , b ] a, b are element of R Show that W is a Subspace of M22?

  49. Algebra II -Please help

    Assign each letter and a blank space to a number as shown by the alphabet table. 0=_ 1=A 2=B 3=C 4=D 5=E 6=F 7=G 8=H 9=I 10=J 11=K 12=L 13=M 14=N 15=O 16=P 17=Q 18=R 19=S 20=T 21=U 22=V 23=W 24=X 25=Y 26=Z use matrix [1 -2] -3 7 and encode the phrase "One

  50. Science

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  51. Designing Specialty Areas

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  52. Science

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  53. Finance

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  54. Science

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  55. Science

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  56. Math

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  57. algebra

    Is this set a subspace of R3 or not? Explain why or why not. Span{[1 2 1],[-1 1 3]} I've tried to do a three variable three unknown equation to solve for the scalars for each of the vectors but when doing it got very wrong numbers.

  58. math

    Find the least squares approximation of x over the interval [0,1] by a polynomial of the form a + b*e^x --------------------------------------------------------- The polynomial produces an output space with two linearly independent basis vectors: u1 = 1,

  59. Linear Algebra

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  60. biochemistry

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  61. math

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  62. Managerial Accounting

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  63. linear algebra

    Prove that the trace is a similarity invariant. In other words, if two matrices are similar, then they must have the same trace. Got the answer from Wikipedia: tr(AB) = tr(BA) tr(ABC) = tr(CAB) tr(P^-1 * A * P) = tr(P^-1 * P * A) = tr(A)

  64. Physics

    A 160 kg astronaut (including space suit) acquires a speed of 2.20 m/s by pushing off with his legs from an 1950 kg space capsule. What is the change in speed of the space capsule? As the reference frame, use the position of the space capsule before the

  65. Physics

    A 160 kg astronaut (including space suit) acquires a speed of 2.20 m/s by pushing off with his legs from an 1950 kg space capsule. What is the change in speed of the space capsule? As the reference frame, use the position of the space capsule before the

  66. retail pharmacy assistant

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  67. physics

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  68. Geometry

    How do you prove that the sum of distances to a point from the interior of an equilateral triangle is equal to the height of a triangle, therefore it is invariant and that a parrallelogram's angular bisectors from a rectangle.

  69. Physics (please help!!!!)

    An astronaut is performing a space walk outside the International Space Station. The total mass of astronaut with her space suit and all lher gear is 127 kg. A small leak develps in her pulsion system and 5.84 g of gas are ejected each second into space

  70. Physics (please help)

    An astronaut is performing a space walk outside the International Space Station. The total mass of astronaut with her space suit and all lher gear is 127 kg. A small leak develps in her pulsion system and 5.84 g of gas are ejected each second into space

  71. science

    Objects take up space and move through space different ways. Scientists use these differences to make models. For example, how a rubber band stretches helps you "see" the force acting on it. How could you use space relationships to model Earth and its

  72. Math

    Andie is designing a rectangular play space for her dogs. The length of the play space is 7ft. and the width is 6ft. The new space will have a length and width twice the dimensions of the current space. She needs to purchase sod to cover the ground inside

  73. MATH

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  74. Linear Algebra, orthogonal

    The vector v lies in the subspace of R^3 and is spanned by the set B = {u1, u2}. Making use of the fact that the set B is orthogonal, express v in terms of B where, v = 1 -2 -13 B = 1 1 2 , 1 3 -1 v is a matrix and B is a set of 2 matrices

  75. physics

    A 500kg spacecraft was traveling through space at a constant velocity when it fires its rocket engine. The engines produce a 1000N of thrust. The space craft was traveling at 400 m/s after 100 seconds. (A)What is the rate of acceleration for the space

  76. College Prep

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  77. economics

    Assume that demand for product A can be expressed as QA = 500 ¨C 5PA + 3PB and demand for product B can be expressed as QB = 300 ¨C 2PB + PA. Currently, market prices and quantities for these goods are PA, = 5, PB = 2, QA = 481, and QB = 301. a. Suppose

  78. Math

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  79. math

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  80. Math: Intro to Proofs

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  81. MATH PLEASE HELP

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  82. biology

    please help me unscrample the following words: (the space means thate the anagram has two words in it, but the space is not necessarily at the space) rmns teizysecntiore nt roetssieitrsic id ksdxlne so derrecisgntdie Thank you very much for your time!

  83. algebra please ck.

    joe wants to spend 70. dollars at most and has 60 cu inches of space left in his soldier's care package. candy costs $7 and takes up 3 cu inch of space phone cards cost $5. and take up 15 cu in. of space. Is this correct? if not please change it or tell me

  84. Accounting

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  85. mastering quantum mechanics

    PART B (10 points possible) Consider the operator S on an n-dimensional complex vector space so that S(z1,z2,…,zn)=(0,z1,z2,…zn−1). Assume the inner product is the standard one: ⟨(x1,…,xn),(y1,…,yn)⟩=x∗1y1+…+x∗nyn. Calculate

  86. ryan

    You propose to build a space ship that allows the entire population of the United States (280 million) to leave earth. Your plans allocate an average space of 1,000(=10*10*10) cubic feet to each person. You space ship is going to have the shape of a

  87. MATH- please help!

    A company makes three products X, Y and Z. Each product requires processing by three machines A, B and C. The time required to produce one unit of each product is shown below. Product X:- Machine A: 1 Machine B: 2 Machine C: 2 Product Y: Machine A:2

  88. MATH-PLEASE HELPPP!!!!

    A company makes three products X, Y and Z. Each product requires processing by three machines A, B and C. The time required to produce one unit of each product is shown below. Product X:- Machine A: 1 Machine B: 2 Machine C: 2 Product Y: Machine A:2

  89. MATH

    A company makes three products X, Y and Z. Each product requires processing by three machines A, B and C. The time required to produce one unit of each product is shown below. Product X:- Machine A: 1 Machine B: 2 Machine C: 2 Product Y: Machine A:2

  90. Business Management

    I have just came across the words product-led and market-led and have no idea what they mean, could someone please give me a detailed explanation thanks Thank you for using the Jiskha Homework Help Forum. Look at "market-led" as "what the customer wants."

  91. Product curves

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  92. math

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  93. Microsoft Word

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  94. math

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  95. Physics

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  96. Math

    Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. a) Find the product. (-1.15)·3.2 b) Explain in words HOW you determined the sign of your answer.

  97. Math

    Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. a) Find the product. ( − 1 . 15 ) ⋅ 3 . 2 b) Explain in words how you determined the sign of your answer.

  98. Math

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  99. science

    CAN ONE IN THEORY OR ACTUAL DEPRIVE A PARTICULAR AREA OF SPACE; 1sq mile of space of oxygen while the surrounding area of space has normal levels of oxygen?.... This question is not limited by the use of other chemicals or machinations to achieve GOAL....

  100. History

    NASA, space shuttles, and the International Space Station are (a)all related to Cold War spy technology (b) joint scientific study and space exploration efforts (c) United States efforts to build anti missile defenses (d) belief in extraterrestrial life

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