Verify that (AB) = BTAT. 6 1-1 Find (AB)T. 11 0 -20 X Find BTAT. 11 A = 0 1 30 0 -20 6 9 43 6 9 43 → 8 6 3 6 and 42 3 6 42 B = 10-1 61-6 01 8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
Verify that (AB)T = BTAT.
6 1 -1
0 1 8
30
6
Find (AB)T.
11
X
0
-20
X
Find BTAT.
A =
11
-20
6
43
6
9
↓↑
43
↓ 1
3
لنا
42
3
and
6
42
B =
1
6 1-6
01 8
0 -1
Transcribed Image Text:Verify that (AB)T = BTAT. 6 1 -1 0 1 8 30 6 Find (AB)T. 11 X 0 -20 X Find BTAT. A = 11 -20 6 43 6 9 ↓↑ 43 ↓ 1 3 لنا 42 3 and 6 42 B = 1 6 1-6 01 8 0 -1
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