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math
If A^TA is an invertible matrix, prove that the column vectors of A are linearly independent. You know that if statement X implies statement Y then that is equivalent to Not(Y) implies Not(X). You can start by taking the column
asked by mathstudent on January 8, 2007 
precalc
Given a square matrix M, we say that a nonzero vector v is an eigenvector of M if Mv=kv for some real number k. The real number k is called the eigenvalue of v with respect to M. 1. Let v be an eigenvector of the matrix M with
asked by katie on August 7, 2016 
linear(hw check)
determine if v1= [ 2 1 0] v2=[ 1 1 3] v3=[ 0 1 6] spans the vector space of rows with three real entries which has dimension 3. so I wanted to make sure I did this correct. First I created a matrix with v1,v2,v3 as the columns
asked by kirsten on March 4, 2015 
Algebra IIPlease check calcs
Could someone check this matrix calculation The first matrix dimension is 1 by 3 row 1 = 1 row 2 = 7 row 3 =3 Second matrix is 1 by 3 Row 1 column one =2 row 1 column two = 5 row one column three = 5 my calculation is that it
asked by Ray Scholz on January 26, 2011 
calculus
A vector field with a vector potential has zero flux through every closed surface in its domain. it is observed that although the inversesquare radial vector field F = (e^r)/(p^2) satisfies div(F) = 0, F cannot have a vector
asked by Tom on October 25, 2009 
algebra
When i have a matrix 4 X 4 and i have to multiply it by a 4 X 3 i know that the product size has to be a 4x 3 so do i do a row times column or how ? It's easiest to learn using the notations for tensors. For any matrix X denote
asked by student on June 17, 2007 
Math
The vector a1=(1,1,0) and a2=(1,1,1) span plane in R^3. Find the projection matrix P onto the plane, and find nonzero vector b that is projected to zero.
asked by Melvin on January 2, 2011 
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.
asked by Min on June 19, 2007 
Java programming
can anybody help me.. Multidimensional Array Use a twodimensional array (for example of 3 by 3) to simulate the addition operation of two matrices. Sample output: the first matrix: 1 2 3 1 0 1 1 2 1 the second matrix: 1 1 1 2 2 2
asked by noh on April 14, 2013 
math , help
can someone show me how to solve this: directions: pivot once as indicated in each simplex tableau. Read the solution from the result. the number that is highlighted is row 2 column 3 which is the 5 the matrix is a 4 X 8 under
asked by jas on June 13, 2007