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Suppose A and B are square matrices of the same size. Which of the following are NOT necessarily true? (A + B)² = A² + 2AB + B² (A - B)² = A² − 2AB + B² □ A²B² = A(AB)B D(A + B)³ = A³+ B³ □ (A + B)(A − B) = A² – B² (AB)² = A²B² □ (A + B)² = A²+ AB + BA + B²

Suppose A and B are square matrices of the same size. Which of the following are NOT necessarily true? (A + B)² = A² + 2AB + B² (A - B)² = A² − 2AB + B² □ A²B² = A(AB)B D(A + B)³ = A³+ B³ □ (A + B)(A − B) = A² – B² (AB)² = A²B² □ (A + B)² = A²+ AB + BA + B²

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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Suppose A and B are square matrices of the same size. Which of the following are NOT necessarily true? □ (A + B)² = A² + 2AB + B² (A - B)² = A² - 2AB + B² □ A²B² = A(AB)B 3 O(A + B)³ = A³ + B³ □ (A + B)(A − B) = A² – B² □ (AB)² = A²B² □ (A + B)² = A²+ AB + BA + B²
Transcribed Image Text:Suppose A and B are square matrices of the same size. Which of the following are NOT necessarily true? □ (A + B)² = A² + 2AB + B² (A - B)² = A² - 2AB + B² □ A²B² = A(AB)B 3 O(A + B)³ = A³ + B³ □ (A + B)(A − B) = A² – B² □ (AB)² = A²B² □ (A + B)² = A²+ AB + BA + B²
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