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A square matrix is a matrix that has the same number of rows and columns. We can determine if a matrix is square by checking their dimensions. Let's look at the matrices one by one: Matrix A: \[\begin{bmatrix} -1 & 4 & -2 \\ -4 & 3 & 5 \\ -3 & 1 & 6 \end{bmatrix}\] Matrix A has 3 rows and 3 columns, so it is a 3x3 matrix. Matrix B: \[\begin{bmatrix} 5 & 2 & -1 \\ 1 & 3 & 4 \\ \end{bmatrix}\] Matrix B has 2 rows and 3 columns, so it is a 2x3 matrix and not square. Matrix C: \[\begin{bmatrix} 12 & 6 \\ 5 & 3 \\ 0 & 7 \\ \end{bmatrix}\] Matrix C has 3 rows and 2 columns, so it is a 3x2 matrix and not square. Only Matrix A is a square matrix because it has the same number of rows and columns (3x3).
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