Curriculum placement
Precalculus. This describes the skill, not a learner estimate.
Operations on matrices
Perform matrix operations and represent linear transformations
Problem types
- Add, scale and multiply matrices
Builds on
- Vectors and their components
- Systems of linear equations
- Data arranged in a matrix · Earlier idea
The stock at two stores adds as matrices, and a price list multiplies a quantity matrix to give totals. Operations on data tables are the matrix operations.
- Perimeter and area from coordinates · Useful idea
The area of a parallelogram or triangle with vertices on a grid is found from a determinant of the side vectors.
Leads to
Related skills
- Velocity and force as vectors · Related idea
A vector is written as a column matrix, and matrices act on vectors by multiplication.
- Composition of functions · Related idea
Applying one transformation after another is composition, and the matching matrices are multiplied in the same order.
- Adding and subtracting whole numbers · Related idea
Adding two matrices adds entries in the same position, the same column-by-column addition used for large numbers.
- Solving a linear and a nonlinear equation together · Shared foundations
- Motion described by a parameter · Shared foundations
Open the interactive map to explore lessons and skill connections.