Let A is a 3 - 3 matrix and B is its adjoint matrix- If - B -64- then - A -A- - 2B- - 4C- - 8D- - 12

The correct option is C ±8|adj(A)|=|A|^(n 1) ⇒ nbsp;|B|=|A|^2= 64 ⇒ |A|=±8 ...

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Standard XII

Mathematics

Composite Function

Let A is a 3 ...

Question

Let $A$ is a $3 \times 3$ matrix and $B$ is its adjoint matrix. If $| B | = 64,$ then $| A | =$

\pm 2

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\pm 4

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\pm 8

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\pm 12

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Solution

The correct option is C $\pm 8$
$| a d j (A) | = | A |^{(n - 1)} \Rightarrow | B | = | A |^{2} = 64 \Rightarrow | A | = \pm 8$

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Let A is a 3×3 matrix and B is its adjoint matrix. If |B|=64, then |A|=

The correct option is C ±8|adj(A)|=|A|(n−1)⇒|B|=|A|2=64⇒|A|=±8

Let $A$ is a $3 \times 3$ matrix and $B$ is its adjoint matrix. If $| B | = 64,$ then $| A | =$

The correct option is C $\pm 8$
$| a d j (A) | = | A |^{(n - 1)} \Rightarrow | B | = | A |^{2} = 64 \Rightarrow | A | = \pm 8$