AIM: How do we perform basic matrix operations?

DO NOW:

Describe the steps for solving a system of Inequalities

How do you know which region is shaded?

Section 3.5 – Basic Matrix Operations

Using basic operations with matrices is simple, but takes practice

Like we saw in 3.4, a MATRIX is an arrangement of values in rows and columns

The dimensions of a matrix are indicated by the # of rows and # of columns m X n where m is number of rows and n is the

number of columns

Section 3.5 - Matrices

For examples:

2 2

3 2

This is a 2 X 2 matrix

1 3 2

2 6 7

3 0 2

This is a 3 X 3 matrix

HOW DO WE READ MATRICES?

The Element in the first row and third column is 5

2 rows

3 columns

We read this as 2 by 3.

Section 3.5 – Adding, Subtracting, Scalar Multiplication of Matrices

In order to add or subtract, two matrices must have the same dimensions!

Adding and Subtracting Methods

Scalar Multiplication

Let Work on the Worksheet

Homework for Section 3.5

Matrix Worksheet

p.191-192#1-3, 7-9, 10-22(Even), 25, 26, 31, 34

Section 3.6 Multiply Matrices

Section 3.6 – Multiplying Matrices

Like we saw in 3.5, a MATRIX is an arrangement of values in rows and columns

The dimensions of a matrix are indicated by the # of rows and # of columns m X n where m is number of rows and n is

the number of columns

To multiply two matrices, one condition must be met: the # of columns of the 1st matrix must

equal the # of rows of the 2nd matrix

Section 3.6 - Matrices

For examples:

2 2

3 2

1 4

4 0

1 3 2

2 6 7

3 0 2

7

6

3

Can these be Can these be multiplied?multiplied?