Topics
4. Algebra and Matrices
topic badge
AustraliaQLD
Year 11

4.06 Matrix multiplication

Lesson
Worksheet
Practice

Interactive practice questions

Consider $A$A$=$=   $7$7     and $B$B$=$=   $6$6   .
a

Is the product $AB$AB defined?

Yes

A

No

B
b

What are the dimensions of $AB$AB?

$\editable{}$$\times$×$\editable{}$

c

Determine the matrix $AB$AB.

$AB$AB$=$=   $\editable{}$    
Easy
< 1min
Consider $A$A$=$=
    $-1$−1 $-3$−3    
    $-9$−9 $-4$−4    
    $4$4 $-5$−5    
and $B$B$=$=
    $3$3    
    $-8$−8    
.
Easy
2min
Consider $A$A$=$=
    $-2$−2 $3$3 $6$6 $-6$−6    
    $2$2 $-5$−5 $-4$−4 $5$5    
and $B$B$=$=
    $-3$−3    
    $1$1    
    $-9$−9    
    $7$7    
.
Easy
2min
Consider $A$A$=$=
    $5$5    
    $-1$−1    
and $B$B$=$=
    $-6$−6    
    $7$7    
.
Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account
Book a Demo
Sign up for free

Outcomes

2.2.2.3

perform matrix addition, subtraction, and multiplication by a scalar

2.2.2.4

perform matrix multiplication (manually up to a 3 x 3 but not limited to square matrices)

What is Mathspace

About Mathspace