Find the product of `[(2,1),(3,2),(-1,1)][(1,0,1),(-1,2,1)]`

Explanation

To find the product of the matrices \(\begin{pmatrix} 2 & 1 \\ 3 & 2 \\ -1 & 1 \end{pmatrix}\) and \(\begin{pmatrix} 1 & 0 & 1 \\ -1 & 2 & 1 \end{pmatrix}\), we will follow the matrix multiplication rules.

### Step 1: Verify Dimensions
The first matrix is \(3 \times 2\) (3 rows and 2 columns) and the second matrix is \(2 \times 3\) (2 rows and 3 columns). Since the number of columns in the first matrix (2) is equal to the number of rows in the second matrix (2), we can multiply these matrices. The resulting matrix will have dimensions \(3 \times 3\).

### Step 2: Set Up the Result Matrix
We will denote the resulting matrix as \(C\), which will be a \(3 \times 3\) matrix:
\[
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