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VCE 11 General 2023

6.05 Matrix multiplication

Interactive practice questions

Is $PQ$PQ, the product of $P_{4\times2}$P4×2 and $Q_{2\times3}$Q2×3, defined?

a

No

A

Yes

B
b

What are its dimensions?

$\editable{}$ × $\editable{}$

Easy
< 1min

Is $R$R$S$S, the product of $R_{5\times4}$R5×4 and $S_{3\times4}$S3×4, defined?

Easy
< 1min

Is $S$S$R$R, the product of $R_{5\times3}$R5×3 and $S_{4\times5}$S4×5, defined?

Easy
< 1min
Consider $A$A$=$=   $-7$7 $-3$3 $-1$1   .
$5$5 $7$7 $-6$6

If $A$A is to be multiplied by $B$B, a column matrix, what are the dimensions of $B$B?

Easy
< 1min
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Outcomes

U1.AoS3.3

matrix arithmetic: the definition of addition, subtraction, multiplication by a scalar, multiplication, the power of a square matrix, and the conditions for their use

U1.AoS3.9

add and subtract matrices, multiply a matrix by a scalar or another matrix, and raise a matrix to a power

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