If the matrices A and B are multiplied. Then the dimension of the matrix C will be 2 by 2.
What is a dimension of a matrix?
The dimensions of a matrix are the product of the number of raw and the number of columns, which is known as a dimension of a matrix.
The matrices are given below.
[tex]A = \begin{bmatrix}1 & -1 \\0 & 3 \\\end{bmatrix} _{2 \times 2}[/tex]
[tex]B = \begin{bmatrix}0 & 2 \\1 & -1 \\\end{bmatrix} _{2 \times 2}[/tex]
If the matrices A and B are multiplied. Then the dimension of the matrix C will be
C = AB
Then we have
[tex]C = \begin{bmatrix}1 & -1 \\0 & 3 \\\end{bmatrix} _{2 \times 2} \begin{bmatrix}0 & 2 \\1 & -1 \\\end{bmatrix} _{2 \times 2}\\\\\\C = \begin{bmatrix} -1 &3 \\ 3 & -3 \end{bmatrix}_{2 \times 2}[/tex]
More about the dimension of the matrix link is given below.
https://brainly.com/question/15168550
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