Suppose A is a 3x3 matrix and suppose that B arises from A by applying one of the row operations. Which of the following statements is correct? It is possible for A to be invertible and B to be non-invertible. If A is invertible then so is B, and the inverse of A equals the inverse of B. If A is invertible then so is B, but the inverses of A and B will generally be different. None of the above.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 77E
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Suppose A is a 3x3 matrix and suppose that B arises from A by applying one of the
row operations. Which of the following statements is correct?
It is possible for A to be invertible and B to be non-invertible.
If A is invertible then so is B, and the inverse of A equals the inverse of B.
If A is invertible then so is B, but the inverses of A and B will generally be
different.
None of the above.
Transcribed Image Text:Suppose A is a 3x3 matrix and suppose that B arises from A by applying one of the row operations. Which of the following statements is correct? It is possible for A to be invertible and B to be non-invertible. If A is invertible then so is B, and the inverse of A equals the inverse of B. If A is invertible then so is B, but the inverses of A and B will generally be different. None of the above.
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