Solve the matrix equation `[[5, 4] ,[1 ,1]]X=[[1,-2] ,[1, 3]]` , where `X` is a `2xx2` matrix.

Explanation

To solve the matrix equation \(\begin{bmatrix} 5 & 4 \\ 1 & 1 \end{bmatrix} X = \begin{bmatrix} 1 & -2 \\ 1 & 3 \end{bmatrix}\), where \(X\) is a \(2 \times 2\) matrix, we will follow these steps:

### Step 1: Define the matrices
Let \(A = \begin{bmatrix} 5 & 4 \\ 1 & 1 \end{bmatrix}\) and \(B = \begin{bmatrix} 1 & -2 \\ 1 & 3 \end{bmatrix}\). We need to find the matrix \(X\).

### Step 2: Use the matrix equation
The equation can be rewritten as:
\[
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