Unpacked Content
Knowledge
Students know:
- Procedures for converting systems of equations to matrix equations.
- Conditions that determine the inverse of a matrix exists.
- Techniques for determining the inverse of a matrix (including using technology).
- Process for using the inverse of a matrix to find the solution to a matrix equation (2 x 2).
- Matrix multiplication is not commutative.
Skills
Students are able to:
- Perform row operations on a matrix to find the inverse of the matrix.
- Efficiently and accurately find the inverse of a matrix using technology.
Understanding
Students understand that:
- The solutions to a matrix equation are the solutions to the system of equations that produced the matrix equation.
- Solving a matrix equation is analogous to solving a linear equation.
- Technology is a useful tool that facilitates investigation and, once the initial process is understood, helps find solutions of more complex problems.
Vocabulary
- Inverse of a matrix
- Dimension of a matrix
