Unpacked Content
Knowledge
Students know:
- The additive and multiplicative identity properties for real numbers.
- The aspects of the zero and identity matrices.
- A matrix multiplied by its multiplicative inverse equals the identity matrix.
Skills
Students are able to:
- Find the determinant of a square matrix.
- Find the multiplicative inverse of a square matrix.
- Add and multiply matrices.
Understanding
Students understand that:
- Identity properties that apply to other number systems apply to matrices.
- The multiplicative inverse property that applies to other number systems applies to matrices.
- A matrix with a determinant equal to zero does not have a multiplicative inverse analogous to zero in the real number system not having a multiplicative inverse.
- Division by zero in the real number system is undefined.
Vocabulary
- Zero Matrix
- Identity Matrix
- Determinant
- Multiplicative Inverse
