Matrix Multiplication Worksheet with Answer Key

What's on the worksheet

1. A is a 2 × 5 matrix.
   AB is defined and is 2 × 3BA is defined and is 4 × 5AB and BA are both definedAB is defined and is 3 × 3BA and B^2 are both defined
2. Let A = \begin{bmatrix} -2 & -4 \\ 2 & -5 \end{bmatrix} \qquad B = \begin{bmatrix} 1 & 1 & 4 \\ -5 & 2 & -1 \end{bmatrix}
3. Find x and y so that \begin{bmatrix} 2 & x \\ y & 3 \end{bmatrix}\begin{bmatrix} 1 & 4 \\ -2 & 1 \end{bmatrix} = \begin{bmatrix} -4 & 11 \\ -1 & 23…
4. For numbers, (a + b)(a - b) = a² - b².
5. Let A = \begin{bmatrix} 2 & -1 & 4 \\ 0 & 3 & -2 \\ 5 & 1 & -3 \end{bmatrix} \qquad B = \begin{bmatrix} 1 & 4 & -2 \\ -3 & 0 & 6 \\ 2 & -5 & 1…
6. After 12 games of a youth soccer league, the matrix S lists each team's results, with rows Hawks, Owls, Foxes and columns wins, draws, losses.
7. Jasmine is asked to find A² for A = \begin{bmatrix} 2 & 5 \\ -1 & 3 \end{bmatrix} She writes A² = bmatrix 4 & 25 \\ 1 & 9 bmatrix.