Add, subtract, and multiply matrices

What you'll learn

1. Add and subtract two matrices of identical dimensions entry-wise.
2. State the dimension condition for matrix multiplication: $A_{m \times n} \cdot B_{n \times p}$ produces $C_{m \times p}$.
3. Compute each entry of the product matrix using the row-column dot product.
4. Multiply a $2 \times 2$ matrix by a $2 \times 2$ matrix; multiply a non-square pair when dimensions allow.
5. Interpret a matrix product in context (e.g., two-stage calculations, path counting).

Prerequisites

• Multiply matrices by scalars