Represent systems as matrix equations

What you'll learn

1. Understand matrix notation: identify the dimensions of a matrix, access entries by row and column index, and identify special matrices (square, identity, zero)
2. Perform matrix multiplication for compatible matrices, understanding it as a sequence of dot products of rows and columns
3. Write a system of two linear equations as the matrix equation Ax = b, identifying A (coefficient matrix), x (variable vector), and b (constant vector)
4. Convert between a system of equations and its matrix equation form, in both directions
5. Explain why the matrix equation form is useful for representing multiple systems with the same coefficient matrix

Prerequisites

• Solve systems of linear equations