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Determine if the statements are true or false. False ? ? 1. If A and B are n x n matrices, then (A − B)(A + B) = A² - B². 2. If A and B are n x n matrices and A is invertible, then ABA-¹ = B. 3. Let A, B and X be n x n matrices with A invertible. Then XA = B is equivalent to X = BA-¹.

Determine if the statements are true or false. False ? ? 1. If A and B are n x n matrices, then (A − B)(A + B) = A² - B². 2. If A and B are n x n matrices and A is invertible, then ABA-¹ = B. 3. Let A, B and X be n x n matrices with A invertible. Then XA = B is equivalent to X = BA-¹.

Advanced Engineering Mathematics
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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Determine if the statements are true or false. False 1. If A and B are n x n matrices, then (AB)(A + B) = A² - B². ? ? V ✔ 2. If A and B are n x n matrices and A is invertible, then ABA-¹ = B. 3. Let A, B and X be n x n matrices with A invertible. Then XA = B is equivalent to X = BA-¹.
Transcribed Image Text:Determine if the statements are true or false. False 1. If A and B are n x n matrices, then (AB)(A + B) = A² - B². ? ? V ✔ 2. If A and B are n x n matrices and A is invertible, then ABA-¹ = B. 3. Let A, B and X be n x n matrices with A invertible. Then XA = B is equivalent to X = BA-¹.
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