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Problem
Problem
If
A
=
[
1
2
2
2
1
−
2
a
2
b
]
A = \begin{bmatrix} 1 & 2 & 2 \\ 2 & 1 & -2 \\ a & 2 & b \end{bmatrix}
A
=
1
2
a
2
1
2
2
−
2
b
is a matrix satisfying
A
A
′
=
9
I
3
AA' = 9I_3
A
A
′
=
9
I
3
, find the value of
∣
a
∣
+
∣
b
∣
|a| + |b|
∣
a
∣
+
∣
b
∣
.
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