Question

Simplify the matrix expression:-4 -3] + [2] x [4 -5].[-12 20104[-8 10]Simplifying the matrix expression is not possible

Answer 1

To simplify the given matrix expression, multiply the matrices and perform addition.

Step-by-step explanation:

To simplify the given matrix expression, we need to perform matrix operations.

Let's start with the multiplication:

1. Multiply the matrix [4 -5] by each element of the matrix [-12 20; -8 10].
2. Calculate the resulting matrix.

After that, we need to add the resulting matrix to the matrix [-4 -3; 2].

Simplifying the matrices will result in the final matrix expression.

Answer 2

We are to simplify the given matris expression

`-4\begin{bmatrix}{2} & {-3} & {} \\ {-1} & {6} & {} \\ {} & {} & {}\end{bmatrix}\text{ +}\begin{bmatrix}{2} & {} & {} \\ {-4} & {} & {} \\ {} & {} & \end{bmatrix}\text{ x }\begin{bmatrix}{} & {} & {} \\ {4} & {-5} & {} \\ {} & {} & {}\end{bmatrix}`

Multiply the first matrix by the scalar (-4)

`\begin{gathered} \begin{bmatrix}{-8} & {12} & {} \\ {4} & {-24} & {} \\ {} & {} & {}\end{bmatrix}\text{ + }\begin{bmatrix}{2X4\text{ + (-4X-5)}} & {} & {} \\ {} & {} & {} \\ {} & {} & {}\end{bmatrix} \\ \\ \begin{bmatrix}{-8} & {12} & {} \\ {4} & {-24} & {} \\ {} & {} & {}\end{bmatrix}\text{ + \lbrack{}8 + 20\rbrack} \\ \\ \begin{bmatrix}{-8} & {12} & {} \\ {4} & {-24} & {} \\ {} & {} & {}\end{bmatrix}\text{ + \lbrack{}28\rbrack} \end{gathered}`

We can not simplify further than this because the two matices are of different orders.

The correct option is "simplifying the matrix is not possible".