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Multiplication of Matrices

Let P =[ a i ...

Question

Let P=[a_ij] be a 3×3 matrix and let Q=[b_ij], where b_ij=2 ^i+ja_ij for 1≤i,j≤3. If the determinant of P is 2, then the determinant of the matrix Q is

A

$2^{10}$

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B

$2^{11}$

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C

$2^{12}$

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D

$2^{13}$

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Solution

The correct option is D
$2^{13}$

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Similar questions

P = [a_{i j}]

\times

3 matrix and let

Q = [b_{i j}]

b_{i j} = 2^{i + j} a_{i j} f o r 1 \leq i, j \leq 3

. If the determinant of P is 2, then the determinant of the matrix Q is

P = [a_{i j}]

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Q = [b_{i j}]

b_{i j} = 2^{i + j} a_{i j}

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