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Question
Let P = [a
ij
] be a 3 × 3 matrix and let Q = [b
ij
], where b
ij
= 2
i + j
a
ij
for 1 ≤ i, j ≤ 3. If the determinant of P is 2, then the determinant of the matrix Q is
Options
A.
2
10
B.
2
11
C.
2
12
D.
2
13
Solution
⇒ |Q| = 2
12
|P|
|Q| = 2
13
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