Question

if A is a square matrix of order 3 and |2A|= k|A|, then find the value of k.

Answer 1

K=8 |2A| means muktiply all the elments with 2 in it then take 2 common from each row or each column then u get 8

Answer 2

Answer:

The value of k is 8.

Step-by-step explanation:

Let A is a square matrix of order 3.

According to the property of determinant:

$|cA|=c^3|A|$

Where, c is a constant.

The value of 2|A| is

$|2A|=2^3|A|$

$|2A|=8|A|$             ...(1)

It is given that

$|2A|=k|A|$            ...(2)

From (1) and (2), we get

$k=8$

Therefore the  value of k is 8.