MA19.A2.4
Add, subtract, and multiply matrices of appropriate dimensions.
Unpacked Content
UP:MA19.A2.4
Vocabulary
- Appropriate dimensions
Knowledge
Students know:
- The aspects of a matrix with regard to entries, rows, columns, dimensions, elements, and subscript notations.
Skills
Students are able to:
- Strategically choose and apply appropriate representations of matrices on which arithmetic operations can be performed.
Understanding
Students understand that:
- Matrix addition and subtraction may be performed only if the matrices have the same dimensions.
- Matrix multiplication can be performed only when the number of columns in the first matrix equal the number of rows in the second matrix.
- There are many contextual situations where arithmetic operations on matrices allow us to solve problems.
Body
- Add, subtract, and multiply matrices of appropriate dimensions.
Evidence of Student Attainment
Given two matrices,
<ul><li>Determine whether arithmetic operations (add, subtract, multiply) are defined.
</li><li>Perform arithmetic (add, subtract, multiply) operations to form new matrices.</li></ul>