(Solved): 5. Given the dimensions below of the 3 matrices \( A, B \) and \( C \), determine every pair of ma ...

5. Given the dimensions below of the 3 matrices \( A, B \) and \( C \), determine every pair of matrices that can be multiplied and state the dimensions of the product. A: \( 3 \times 5 \) B: \( 3 \times 3 \) C: \( 5 \times 2 \) 6. Given the matrix \( B=\left[\begin{array}{cc}2 & -4 \\ -1 & 1\end{array}\right] \), find a matrix \( A \) such that \( A B=\left[\begin{array}{ll}1 & 1\end{array}\right] \).