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In Problems 2 and 3, find AB, BA, A + B, 5A, 3B, 5A- 3B. Observe that AB + BA. Show on, (b) by the that det (AB) = det (BA) = (det A)(det B), but that det (A + B) ‡ det A + det B, det 5A # 5 det A, and det 3B 3 det B. (In Problem 2, show that det 3B = 9 det B, and in Problem 3, det 3B = 27 det B.) 2 <-5 2 1-(-²-3). 8-(-12) 2. A = B = 0

In Problems 2 and 3, find AB, BA, A + B, 5A, 3B, 5A- 3B. Observe that AB + BA. Show on, (b) by the that det (AB) = det (BA) = (det A)(det B), but that det (A + B) ‡ det A + det B, det 5A # 5 det A, and det 3B 3 det B. (In Problem 2, show that det 3B = 9 det B, and in Problem 3, det 3B = 27 det B.) 2 <-5 2 1-(-²-3). 8-(-12) 2. A = B = 0

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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solve and show process, of problems 2, 3, thank you

In Problems 2 and 3, find AB, BA, A + B, 5A, 3B, 5A- that det (AB): = det (BA) = (det A)(det B), but that det (A + B) ‡ det A + det B, det 5A # 5 det A, and det 3B 3 det B. (In Problem 2, show that det 3B = 9 det B, and in Problem 3, det 3B 27 det B.) 21-(-3) -(¯ ) B = 2. 1 3. A = 0 -5 0 -1 5 2 0 1 = 1 2 0 0 3B. Observe that AB BA. Show on, (b) by the
Transcribed Image Text:In Problems 2 and 3, find AB, BA, A + B, 5A, 3B, 5A- that det (AB): = det (BA) = (det A)(det B), but that det (A + B) ‡ det A + det B, det 5A # 5 det A, and det 3B 3 det B. (In Problem 2, show that det 3B = 9 det B, and in Problem 3, det 3B 27 det B.) 21-(-3) -(¯ ) B = 2. 1 3. A = 0 -5 0 -1 5 2 0 1 = 1 2 0 0 3B. Observe that AB BA. Show on, (b) by the
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