#### 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>