Explanation Given: The given matrices are: A = [ 1 2 − 1 3 ] and B = [ 2 1 0 1 ] . Procedure used: Find the matrix AB and then find the matrix BA, if they are not same then it proved AB ≠ BA . Proof: Consider the given matrices: A = [ 1 2 − 1 3 ] and B = [ 2 1 0 1 ] . Find the matrix AB: To determine (b) To prove: The expression e ( A + B ) t ≠ e A t e B t for the given matrices.

Pearson eText Fundamentals of Differential Equations with Boundary Value Problems -- Instant Access (Pearson+)

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Author: R. Nagle, Edward Saff

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Chapter 9.8, Problem 25E

To determine

(a)

To prove:

The expression AB≠BA for the given matrices.

To determine

(b)

To prove:

The expression e(A+B)t≠eAteBt for the given matrices.

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Chapter 9.8, Problem 24E

Chapter 9.8, Problem 26E

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