Topics
4. Algebra and Matrices
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AustraliaAU
Year 11

4.05 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
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Outcomes

ACMGM015

perform matrix addition, subtraction, multiplication by a scalar, and matrix multiplication, including determining the power of a matrix using technology with matrix arithmetic capabilities when appropriate

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