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If A is a 3 × 3 matrix |3A| = k|A|, then write the value of k. - Mathematics

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If A is a 3 × 3 matrix |3A| = k|A|, then write the value of k.

If A is a 3 × 3 matrix,

\[\left| A \right| \neq 0 \text { and } \left| 3A \right| = k\left| A \right|\] then write the value of k.
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Solution

|3 A | = k |A|

|3 A | = 27|A|

k = 27

Concept: Order of a Matrix
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