Introduction to Matrices Practice

Presentation

•

Mathematics

•

9th - 12th Grade

•

Hard

Joseph Anderson

FREE Resource

6 Slides • 15 Questions

What is a matrix?

A matrix is a rectangular pattern of data with rows and columns. It's similar to a table, but without the headings.

A matrix consists of:

rows
columns
elements

Dimensions

The dimensions of a matrix are read ROW by COLUMN.

Multiple Choice

In Matrix R (pictured) what element is in the second row, third column?

9.01

Multiple Choice

What are the dimensions of this matrix?

2 x 3

3 x 2

6 x 1

1 x 6

Multiple Choice

What is the name of each entry of a matrix?

Row

Element

Dimension

Rectangle

Multiple Choice

Dimensions?

Multiple Choice

What comes first in the order?

Row

Column

Elements of a Matrix

It's important to be able to identify specific elements of a matrix. Look at the diagram to see how it's done, and then practice for yourself!

Multiple Choice

In Matrix R (pictured) what element is a₂₃?

9.01

Multiple Choice

What is the entry at f₄₂?

-81

-44

-56

Adding or Subtracting Matrices

They must be the SAME size, same amount of rows and columns. If the dimensions are the same, then you add/subtract the corresponding elements.

Multiple Choice

Add

11 8
-4 2

3 2
-6 -6

-3 2
-4 -6

10 8
-6 2

Multiple Choice

Subtract

-5
-8
3
10

-9
8
3
2

5
-8
3
10

-5
8
3
2

Multiple Choice

Find A-B

-3 1
7 -1

1 0
1 -4

-4 0
6 -1

not possible because rows do not match columns

Multiple Choice

Subtract

3 -8
0 -1

3 -4
8 -13

-3 8
0 1

3 -8
-8 1

Multiple Choice

What must be true in order to ADD two matrices?

They must be square.

The dimensions must be equal.

The determinant can't equal 0.

The column of the 1st must equal the row of the 2nd.

Multiple Choice

Can the operation be performed?

Yes

Sometimes

only Mrs. Quinn knows

Scalar Multiplication

Just distribute the scalar to each element!

The scalar in this example is the 2. So distribute the 2 to each element.

Remember - Distribute means to multiply!

Multiple Choice

Multiply

20 15 -10

30 -5 0

-20 15 -1

30 -5 0

1 8 3
11 4 5

20 -15 10

-30 5 0

Multiple Choice

What do m, n, p and q equal in this scalar matrix multiplication?

m=8, n=9, p=-4, q=4

m=15, n = -45, p=20, q=-5

m=20, n=-5, p=15, q=-45

m=-5, n=20, p=-45, q=15

What is a matrix?

A matrix is a rectangular pattern of data with rows and columns. It's similar to a table, but without the headings.

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