Lesson 3 More Arithmetic of Matrices Solidify Understanding

Ready

1.

Solve the system of equations ${\begin{cases} 5 x - 3 y = 3 \\ 2 x + y = 10 \end{cases}$

a.

By graphing

b.

By substitution

c.

By elimination

Set

2.

Matrix $A = [\begin{array}{rr} 5 & 2 \\ 3 & 1 \end{array}]$

a.

Find the additive inverse of matrix $A$ .

b.

Find the multiplicative inverse of matrix $A$ .

3.

Matrix $B = [\begin{array}{rr} 4 & 2 \\ 3 & 2 \end{array}]$

a.

Find the additive inverse of matrix $B$ .

b.

Find the multiplicative inverse of matrix $B$ .

4.

Will the matrix that results from $A \times B$ be equal to the matrix that results from $B \times A$ ?

5.

Which of the properties will work with multiplication of matrices? Select all that apply.

A.

Distributive Property

B.

Associative Property

C.

Multiplicative Inverse

D.

Multiplicative Identity

E.

Commutative Property

Go

Given the four points: $A (2, 1)$ , $B (5, 2)$ , $C (4, 5)$ , and $D (1, 4)$ .

6.

Is $A B C D$ a parallelogram?

Provide convincing evidence for your answer.

7.

Is $A B C D$ a rectangle?

Provide convincing evidence for your answer.

8.

Is $A B C D$ a rhombus?

Provide convincing evidence for your answer.

9.

Is $A B C D$ a square?

Provide convincing evidence for your answer.