Respuesta :
The dimension of matrix A-B is a 2 x 4. Because when you subtract matrices, the dimensions stay the same.
The dimensions of the matrix A - B is 2 × 4
What is matrix?
"It is a rectangular array where numbers or elements are arranged in rows and columns."
For given question,
A and B are 2 x 4 matrices.
Consider two matrices [tex]A=\begin{bmatrix}1 & 2 & 3 & 5\\2 & 6 & 7 & 8\end{bmatrix}[/tex] and [tex]B=\begin{bmatrix}1 & 0 & 3 & -1\\-3 & 4 & 1 & 0\end{bmatrix}[/tex]
Now, we find the matrix (A - B)
[tex]\Rightarrow A-B=\begin{bmatrix}1 & 2 & 3 & 5\\ 2 & 6 & 7 & 8\end{bmatrix} - \begin{bmatrix}1 & 0 & 3 & -1\\-3 & 4 & 1 & 0\end{bmatrix}\\\\\\\Rightarrow A-B=\begin{bmatrix}1-1 & 2-0 & 3-3 & 5-(-1)\\2-(-3) & 6-4 & 7-1 & 8-0\end{bmatrix} \\\\\\\Rightarrow A-B=\begin{bmatrix}0 & 2 & 0 & 6\\5 & 2 & 6 & 8\end{bmatrix}[/tex]
Hence, the dimensions of the matrix A - B is 2 × 4
Learn more about the matrix subtraction here:
https://brainly.com/question/18291235
#SPJ3
