Show that B is the inverse of A. 9 6 18 A = L 1 1 3 B -1 -1 -2 STEP 1: Find AB. AB = STEP 2: Find BA. BA = || 10] T 3 000 000 1 -1 0 -6 -0 0 -9 3 3 000 700 = I = I

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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Show that B is the inverse of A.
9
6 18
A =
L
1 1 3
-1 -1 -2
STEP 1: Find AB.
AB =
STEP 2: Find BA.
BA =
I
B =
3
000
000
-6 -0
0-9
0 3 3
1
-1
= I
= I
Transcribed Image Text:Show that B is the inverse of A. 9 6 18 A = L 1 1 3 -1 -1 -2 STEP 1: Find AB. AB = STEP 2: Find BA. BA = I B = 3 000 000 -6 -0 0-9 0 3 3 1 -1 = I = I
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