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Matrix Operations

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Matrix Operations

- Objectives:
- Represent mathematical and real-world data in a matrix.
- Find sums and differences of matrices and the scalar product of a number and a matrix.

MATRIX: A rectangular arrangement of numbers in rows and columns.

The ORDER of a matrix is the number of the rows and columns.

The ENTRIES are the numbers in the matrix.

What is a Matrix?

This order of this matrix is a 2 x 3.

columns

rows

What is the order?

(or square matrix)

3 x 3

(Also called a column matrix)

1 x 4

3 x 5

(or square matrix)

2 x 2

4 x 1

(Also called a row matrix)

Adding Two Matrices

- To add two matrices, they must have the same order. To add, you simply add corresponding entries.

=

7

7

4

5

=

0

7

5

7

Subtracting Two Matrices

To subtract two matrices, they must have the same order. You simply subtract corresponding entries.

2-0

-4-1

3-8

-5

2

-5

8-3

0-(-1)

-7-1

5

-8

1

=

=

1-(-4)

5-2

0-7

5

3

-7

Multiplying a Matrix by a Scalar

- In matrix algebra, a real number is often called a SCALAR. To multiply a matrix by a scalar, you multiply each entry in the matrix by that scalar.

-3

3

-2

6

-5

-2(-3)

-2(3)

6

-6

-12

-2(6)

-2(-5)

10

Assignment 1

Ch.4.1 pg.221 # 6 to 9, 12 to 14, and 19 to 23.

Due date: Sept. 30th, 2009

To: Mr. Mohammed Akour

By email: makour@alsschools.com

This presentation edited by Mr. Mohammed Akour

Mr Wassim Fakih

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