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4.05 Matrix multiplication

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

1.2.6

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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