Evaluate the following and show your solutions: 2 -21 2 -1. 1. (AB) (A + B) 2. A²+ B² 3. ABBA 4. det (ATB + BT A) 5. (ATB + BT A)-¹ 3 A = 4 -1 1-2 0 } B = 2 1 -2 0 1 -3 -1 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Matrix and Vector

Please Answer # 5 only. 

Evaluate the following and show your solutions:
1.
2.
(A − B)(A + B)
A² + B²
3. AB - BA
4. det (ATB + BT A)
5.
(ATB + BTA)-¹
A =
3
4
-2
2
-1
0
-21
2
-11
-2
0
134
-1
-3 2
B = 2
Transcribed Image Text:Evaluate the following and show your solutions: 1. 2. (A − B)(A + B) A² + B² 3. AB - BA 4. det (ATB + BT A) 5. (ATB + BTA)-¹ A = 3 4 -2 2 -1 0 -21 2 -11 -2 0 134 -1 -3 2 B = 2
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