If `[(a-b,2a+c),(2a-b,3c+d)]=[(-1, 5),( 0, 13)]` , find the value of `b`

Explanation

To solve the matrix equation \(\begin{pmatrix} a-b & 2a+c \\ 2a-b & 3c+d \end{pmatrix} = \begin{pmatrix} -1 & 5 \\ 0 & 13 \end{pmatrix}\), we will equate the corresponding elements of the matrices to form a system of equations.

### Step-by-step Solution:

1. **Equate the corresponding elements:**
From the given matrices, we can write the following equations based on the corresponding elements:
- From the first element:
\[
...