Question

Help please multiply matrix D by matrix E.

Answer 1

It's going to be a 3x2. Im assuming its [ 5 10 on the first row, second row would be -2, -4, then the bottom row would be 1, 2] Hope I helped!

Answer 2

Therefore, The required product matrix is :

`\begin{bmatrix}5 & 10 \\ -2 & -4\\ 1 &2 \end {bmatrix}`

Explanation:

Dimension of matrix D : 3 × 1

Dimension of matrix E = 1 × 2

Since, The columns of first matrix is equal to rows of second matrix so bith the matrix can be multiplied

And The dimension of the product matrix will be : 3 × 2

The product is :

`\begin{bmatrix}5* 1 & 5* 2 \\ -2* 1 & -2* 2\\ 1* 1 & 1* 2 \end{bmatrix}\\\\\\=\begin{bmatrix}5 & 10 \\ -2 & -4\\ 1 &  2 \end {bmatrix}`

Therefore, The required product matrix is :

`\begin{bmatrix}5 & 10 \\ -2 & -4\\ 1 &2 \end {bmatrix}`