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Question

If matrix A=∣∣ ∣∣10−1345067∣∣ ∣∣ and its inverse is denoted by A−1=∣∣ ∣∣a11a12a13a21a22a23a31a32a33∣∣ ∣∣, then the value of a23 is?

A
2120
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B
15
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C
25
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D
25
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Solution

The correct option is D 25
Given, A=∣ ∣101345067∣ ∣

|A|=1(2830)1(18)
|A|=218
|A|=20


The cofactor matrix is C=∣ ∣22818676484∣ ∣

Thus, the adjoint of A is CT

Thus A1=120∣ ∣26428781864∣ ∣

Therefore, a23=820=25

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