Linear Algebra

Hi, I really need help with these True/False questions:

(a) If three vectors in R^3 are orthonormal then they form a basis in R^3.
(b) If Q is square orthogonal matrix such that Q^2018 = I then Q^2017 = Q^T.
(c) If B is square orthogonal matrix then B^−1 = B^T.
(d) If for some basis {a_1, a_2} for vector b one has b = xa_1 +ya_2 then magnitude(b) = sqrt(x^2 + y^2).
(e) If columns of matrix A are orthogonal then rows of A are independent.
(f) Row operations do not change the determinant of a matrix.
(g) If det(2A) = det(3A) then A is not invertible.
(h) If det(A) = det(A^-1) then A = I.
(i) There are no matrix A such that det A^−1 = 0.

Thanks in advance!

  1. 👍 0
  2. 👎 0
  3. 👁 278

Respond to this Question

First Name

Your Response

Similar Questions

  1. Health Truth or False PLEASE CHECK ANSWERS

    $$ = MY ANSWER Just as a person inherits physical traits, a person inherits personality traits as well. True $$ False 2. Peers cannot have a direct impact on your personality. True $$ False 3. Your behavior and personality

  2. Health JUST NEED ANSWERS CHECKED :)

    1. The two health-related components of fitness are muscular strengthand muscular endurance. True False 2. Circuit resistance training utilizes only aerobic energy. True False 3. The training program for muscular endurance should

  3. Health, Fitness, and Nutrition

    Check my answers please 1. The terms "aerobic fitness" and "cardio-respiratory fitness" mean the same thing. True* False 2. Duration refers to the amount of time of your aerobic session. True* False 3. Frequency refers to how hard

  4. Statistical concept 68-95-99.7

    1. A student taking a midterm exam in Ancient History comes to two questions pertaining to a lecture that he missed, and so he decides to take a random guess on both questions. One question is true-false and the other is multiple

  1. Health

    1. Your respiratory system is the system in your body that is responsible for breathing. True False 2. The lungs are made up of thick fibrous tissue. True False 3. Internal respiration takes place in the alveoli. True False 4. The

  2. Environmental Science

    1. Decibel is a measurement of the amount of pollution (True or False) 2. Non-Point-Source pollution can be traced to one specific source (True or False) 3. Point-Source pollution is pollution that comes from identifiable

  3. English

    1.) Anyone can publish information on the Internet without fact-checking it. A.) True************************ B.) False 2.) Public records are most likely to contain valid information than secondhand reports. A.)

  4. Health

    1. It is not possible to get a good workout at home. True *False 2. Most home equipment is expensive. *True False 3. A treadmill is a good choice of home equipment for a person who wants to improve their cardiovascular fitness.

  1. Career

    23. Few, if any skills can be used in more than one job situation. True False *** 24. It is possible to have some skills that you do not actually enjoy very much. True *** False 25. When talking about job skills, the letters TIP

  2. P.E

    1. Air pollutants can do all of the following EXCEPT: A. damage the respiratory system. B. enter the bloodstream and harm other parts of the body. C. cause discoloration to your hair. D. reduce your protection from the sun's

  3. 6th Grade Civil War History

    These are all true or false questions: The Civil War Greatly increased the power of the Federal Government. I think that is false but I'm not sure . . . As a result of the war, the South's economy boomed, while the economy of the

  4. math

    Indicate whether each statement is true or false by checking the appropriate box in the table below. a. 2x is a factor of the expression (2x + y ). True or False b. (2x + y ) is a factor of the expression 3(2x + y ). True or False

You can view more similar questions or ask a new question.