`A=[(2,-1),(3,1)]` and `B=[(1,4),(7,2)]` , find `3A-2Bdot`

Explanation

To solve the problem of finding \(3A - 2B\) where \(A = \begin{pmatrix} 2 & -1 \\ 3 & 1 \end{pmatrix}\) and \(B = \begin{pmatrix} 1 & 4 \\ 7 & 2 \end{pmatrix}\), we will follow these steps:

### Step 1: Calculate \(3A\)

To find \(3A\), we multiply each element of matrix \(A\) by 3.

\[
3A = 3 \times \begin{pmatrix} 2 & -1 \\ 3 & 1 \end{pmatrix} = \begin{pmatrix} 3 \times 2 & 3 \times -1 \\ 3 \times 3 & 3 \times 1 \end{pmatrix} = \begin{pmatrix} 6 & -3 \\ 9 & 3 \end{pmatrix}
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