If A is a 3 - 3 matrix and -3 A - k - A - then write the value of k-

As | 3A | = k | A | ⇒ 3^3 | A | = k | A | ∴ k = 27 [∵ order of A is 3 × 3. ...

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Finding Inverse Using Elementary Transformations

If A is a 3 ×...

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If A is a $3 \times 3$ matrix and |3A| = k|A|, then write the value of k.

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A

3 \times 3

| 3 A | = k | A |

k .

|A| \neq 0 and |3 A| = k |A|

3 \times 3

A

3

| a d j A | = {| A |}^{k}

k

A

3 \times 3

det (3 A) = k (det A)

k =

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