Let P=[aij] be a 3×3 matrix and let Q=[bij],wherebij=2i+jaijfor1≤i,j≤3. If the determinant of P is 2, then the determinant of the matrix Q is 210 b. 211 c. 212 d. 213

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Let {P}={[{a}_{{{i}{j}}}]} be a {3}{3} matrix and let {Q}={[{b

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Let $P = [a_{i j}]$ be a $3 \times 3$ matrix and let $Q = [b_{i j}], w h e r e b_{i j} = 2^{i + j} a_{i j} f or 1 \leq i, j \leq 3 .$ If the determinant of $P$ is 2, then the determinant of the matrix $Q$ is $2^{10}$ b. $2^{11}$ c. $2^{12}$ d. $2^{13}$

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Daniel Discussed

Let

P = [a_{i j}]

be a

3 \times 3

matrix and let

Q = [b_{i j}], w h e r e b_{i j} = 2^{i + j} a_{i j} f or 1 \leq i, j \leq 3 .

If the determinant of

P

is 2, then the determinant of the matrix

Q

2^{10}

2^{11}

2^{12}

2^{13}

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Question Text	Let $P = [a_{i j}]$ be a $3 \times 3$ matrix and let $Q = [b_{i j}], w h e r e b_{i j} = 2^{i + j} a_{i j} f or 1 \leq i, j \leq 3 .$ If the determinant of $P$ is 2, then the determinant of the matrix $Q$ is $2^{10}$ b. $2^{11}$ c. $2^{12}$ d. $2^{13}$
Answer Type	Video solution: 1
Upvotes	151