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ra1l [238]
3 years ago
10

A is a 3x3 matrix with det(A) = 4. Find det(adj(A)).

Mathematics
1 answer:
iris [78.8K]3 years ago
8 0

Answer:

The value of det(adj(A)) is 16.

Step-by-step explanation:

It is given that A is a 3x3 matrix with det(A) = 4.

We need to find the value of det(adj(A)).

We have a formula

det(adj(A))=(det(A))^{n-1}

where, n is order of the square matrix.

Substitute det(A) = 4 and n=3 in the above formula.

det(adj(A))=(4)^{3-1}

det(adj(A))=(4)^{2}

det(adj(A))=16

Therefore, the value of det(adj(A)) is 16.

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