Question

I’m very confused abt this question: Look at the pic for clarification.

Answer 1

(A)

Explanation:

Factor the 2 out and do 2/1=x/A

X=2A

Answer 2

8A

Explanation:

We are multiplying the matrix by a scalar

Each term in the first matrix is multiplied by 2

`\left[\begin{array}{ccc}2l&2m&2n\\2p&2q&2r\\2s&2t&2u\end{array}\right]`

Factor out 2

`2\left[\begin{array}{ccc}l&m&n\\p&q&r\\s&t&u\end{array}\right]`

We know that the determinant of a matrix when multiplied by a scalar is found by

det ( a A) =a^n * det (A)

The scalar in this case is 2 and n is the number of rows ( or columns) since the matrix must be square

det (2A) = 2^3 det(A) = 8A