I got the attached question wrong on a quiz, but don't understand why my answer choice ("selected answer") is not correct. I think the right answer is the choice about having 4 pivot points. Can you explain why my original choice is also not valid? Note: I do know that a matrix can have a nonzero rows, but still have a determinant of 0, thus not invertible. However, this question is talking about the nonzero rows in the row-echelon form. Thanks! Matrices A and B are row equivalent. Choose one mathematical statement that can be made concerning the properties of the matrix A.Г 40 -7 -71-7-71-6A =1 1110.5-1.57 -5 10 190 -4.95 -4.750 0.0404-123 -1Selected 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.

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Answered: Matrices A and B are row equivalent.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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I got the attached question wrong on a quiz, but don't understand why my answer choice ("selected answer") is not correct. I think the right answer is the choice about having 4 pivot points. Can you explain why my original choice is also not valid?

Note: I do know that a matrix can have a nonzero rows, but still have a determinant of 0, thus not invertible. However, this question is talking about the nonzero rows in the row-echelon form.

Thanks!

Matrices A and B are row equivalent. Choose one mathematical statement that can be made concerning the properties of the matrix A.
Г 4
0 -7 -71
-7
-71
-6
A =
1 11
1
0.5
-1.5
7 -5 10 19
0 -4.95 -4.75
0 0.0404
-1
2
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.

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