Matrices & Systems of Equations · 13 lessons

A matrix is a rectangle of numbers in rows and columns. Multiplying a matrix by a column of numbers gives a new column, so a matrix is a rule that turns one list into another, and a product of two matrices applies one rule after the other.

1. 1The Order of a Matrix
2. 2Adding, Subtracting and Scaling Matrices
3. 3The Matrix Product
4. 4Combining Data with a Matrix Product
5. 5Why AB Differs from BA
6. 6The Identity and Zero Matrices
7. 7The Determinant of a 2 × 2 Matrix
8. 8The Inverse of a 2 × 2 Matrix
9. 9Solving Simultaneous Equations with a Matrix Inverse
10. 10The Determinant of a 3 × 3 Matrix
11. 11The Inverse of a 3 × 3 Matrix
12. 12Solving Three Equations with a Matrix Inverse
13. 13The Geometry of Three Planes
14. Determinants and Inverses (10)