#### Math - 2018-19

# MA.11 - Matrices

MA.11The student willusematrices toorganizedata and willaddandsubtractmatrices,multiplymatrices,multiplymatrices by a scalar, andusematrices tosolvesystems of equations.

*Adopted: 2016*

### BIG IDEAS

### UNDERSTANDING THE STANDARD

· Matrices may be used to solve systems of equations.

· Matrices can model a variety of linear systems.

· Solutions of a linear system are values that satisfy every equation in the system.

· Matrices can be used to model and solve real-world problems.

### ESSENTIALS

**The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to**

·
MA.11_{2} **Add**,
**subtract**, and **multiply** matrices.

·
MA.11_{1} **Multiply**
matrices by a scalar.

·
MA.11_{3} **Model**
problems with a system of no more than three linear equations.

·
MA.11_{4} **Express**
a system of linear equations as a matrix equation.

·
MA.11_{5} **Solve**
a system of equations using matrices.

·
MA.11_{6} **Determine**
the inverse of a two-by-two or three-by-three matrix using paper and pencil.

·
MA.11_{7} **Verify**
two matrices are inverses using matrix multiplication.

·
MA.11_{8} **Verify**
the commutative and associative properties for matrix addition and
multiplication.

### KEY VOCABULARY

*Updated: May 29, 2018*