Answer:
Therefore, The required product matrix is :
[tex]\begin{bmatrix}5 & 10 \\ -2 & -4\\ 1 &2 \end {bmatrix}[/tex]
Step-by-step 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 :
[tex]\begin{bmatrix}5\times 1 & 5\times 2 \\ -2\times 1 & -2\times 2\\ 1\times 1 & 1\times 2 \end{bmatrix}\\\\\\=\begin{bmatrix}5 & 10 \\ -2 & -4\\ 1 & 2 \end {bmatrix}[/tex]
Therefore, The required product matrix is :
[tex]\begin{bmatrix}5 & 10 \\ -2 & -4\\ 1 &2 \end {bmatrix}[/tex]
