Question

If A is a matrix of order 3 such that adj (2A) = k (adj A) then the value of k is
O4
O 8
O 374
O2​

Answer 1

Answer:

4

Step-by-step explanation:

For any matrix A of order n, adj ($\alpha A) = \alpha^{n-1}(adjA)$, where $\alpha$ is a constant

here order n = 3

$\alpha$ = 2

So above equation becones

adj(2A) = $2^{3-1}$(adjA)

adj(2A) = $2^{2}$(adjA)

ie adj(2A) = 4(adjA)

ie Comparing above equation with adj (2A) = k (adj A) which is given in the question, we will get

k = 4