Matrices A and B are row equivalent. Choose one mathematical statement that can be made concerning the properties of the matrix 0 -7 -71 4 -7 -7 -6 1 11 1 0.5 -1.5 A = B = 0 -4.95 -4.75 0 0.0404 7 -5 10 19 -1 3 -1. Selected Answer: A is invertible because there are no rows of all zeros in B. Answers: A is invertible because there are no rows of all zeros in B. A is not invertible because B has no free variables. A is invertible because A has four pivots. All of the above. None of the above.
Matrices A and B are row equivalent. Choose one mathematical statement that can be made concerning the properties of the matrix 0 -7 -71 4 -7 -7 -6 1 11 1 0.5 -1.5 A = B = 0 -4.95 -4.75 0 0.0404 7 -5 10 19 -1 3 -1. Selected Answer: A is invertible because there are no rows of all zeros in B. Answers: A is invertible because there are no rows of all zeros in B. A is not invertible because B has no free variables. A is invertible because A has four pivots. All of the above. None of the above.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.5: Iterative Methods For Computing Eigenvalues
Problem 51EQ
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I got this question wrong on a quiz. Can you explain why "A is invertible because there are no rows of all zeros in B" isn't true?
After studying some more, I think the correct answer would be "A is invertible because A has four pivot points". I'm just not sure why "A is invertible because there are no rows of all zeros in B" is not a valid choice as well.
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