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Question

If P=1α3133244 is the adjoint of a 3×3 matrix A and |A|=4, then α is equal to

A
4
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B
11
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C
5
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D
0
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Solution

The correct option is C 5
We have,
P=∣ ∣1α3133244∣ ∣(3×3) and |A|=4

Now,
By Expansion Row
P=∣ ∣1α3133244∣ ∣(3×3)

=1(3×43×4)α(a6)+3(1×42×3)

=1×0α(1)+3(2)

=2α6

Given that
|A|=4

2α6=4

2α=4+6

2α=10

α=102

α=5

Hence, this is the answer.

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