topic badge
AustraliaVIC
VCE 12 General 2023

7.03 Matrix multiplication

Interactive practice questions

Consider $A$A$=$=
    $5$5    
    $-1$1    
and $B$B$=$=
    $-6$6    
    $7$7    
.

Is the product $AB$AB defined?

Yes

A

No

B
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

If $B$B is a $5\times2$5×2 matrix and the product $AB$AB is a $4\times2$4×2 matrix, what are the dimensions of $A$A?

Easy
< 1min
A matrix calculation of $A=BC$A=BC resulted in $A$A$=$=
    $-4$4 $-7$7 $7$7    
    $-1$1 $6$6 $2$2    
    $8$8 $-6$6 $9$9    
.
Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

U4.AoS2.1

the order of a matrix, types of matrices (row, column, square, diagonal, symmetric, triangular, zero, binary, permutation and identity), the transpose of a matrix, and elementary matrix operations (sum, difference, multiplication of a scalar, product and power)

What is Mathspace

About Mathspace