Question

If A is a square matrix of order 3, then |2A| is equal to ______.

पर्याय

• 2|A|

• 4|A|

• 8|A|

• 6|A|

Answer 1

If A is a square matrix of order 3, then |2A| is equal to 8|A|.

Explanation:

Order of square matrix A.

n = 3

∵ |kA| = kⁿ|A|,

k = constant

`\implies` |2A| = 2³|A|

= 8|A|