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N3-1lFind the adjoint of A: A =| 163.Then verify that A (adj A)= (det A)I.2 -40

Question
N
3
-1l
Find the adjoint of A: A =| 1
6
3.Then verify that A (adj A)= (det A)I.
2 -4
0
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N 3 -1l Find the adjoint of A: A =| 1 6 3.Then verify that A (adj A)= (det A)I. 2 -4 0

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Step 1

Verification:

Compute adj(A) as follows.

12
4
12
adj(A)6
2 -10
-16 16 16
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12 4 12 adj(A)6 2 -10 -16 16 16

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Step 2

Obtain the value of A(adj A).

-1
12
12
3
2
4
A (adj A)
6
3
6
2
-10
2 -4
16
-16 16
64
0
0
(1)
0
64
0
64
0
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-1 12 12 3 2 4 A (adj A) 6 3 6 2 -10 2 -4 16 -16 16 64 0 0 (1) 0 64 0 64 0

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Step 3

Evaluate  (det A) ...

(det A) 3(0+12)- 2(0-6)-1(-4-12)
=64
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(det A) 3(0+12)- 2(0-6)-1(-4-12) =64

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