Question

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.

Answer 1

|3 A | = k |A|

|3 A | = 27|A|

k = 27