Algebra I : Semester II : Solving Systems

Sections:

Introduction  |   Section 1  |   Section 2  |   Section 3  |  Section 4  |  Section 5

  Section Four

Part 1  |  Part 2  |  Part 3

Algebra 1 : Section 4: Solving Systems

Scalar Multiplication of Matrices

wheat field with barn and silo in distance

Suppose the Garrett and Bradley farms wish to double the 2004 production by 2008. How much would they plant of each crop?

Farm

2004

2005

 

Corn

Wheat

Oats

Corn

Wheat

Oats

Garrett

1304

2050

1820

1838

1910

1630

Bradley

1256

1925

1750

2030

2005

1800

The simple answer would be to multiply each of the items in 2004 by two. You can show this with the following:

The matrix for 2004 is

2.

If you double this, you have:

3.

4  A Scalar Multiplication of a Matrix means to distribute the scalar times each element in the matrix.
5

Example 1:  Scalar Multiplication
Evaluate 3B if
6

solution

8  Practice
Given these matrices, match each with its evaluation in the Drag and Drop activity. Move your mouse over the expression to enlarge it.
9

20  Section Homework (10 points) Find the Section Homework link to submit it for a grade. You may take this only one time, so check your understanding of the material before completing your homework, and do your best.

Now go on to the next sectionNext

© 2006 Aventa Learning. All rights reserved.