Topics
6. Matrices
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AustraliaVIC
VCE 11 General 2023

6.06 Powers of matrices

Lesson
Worksheet
Practice

Interactive practice questions

Can the matrix $A$A$=$=
    $5$5 $0$0    
    $3$3 $4$4    
be raised to a power?

Yes

A

No

B
Easy
< 1min
Can the matrix $A$A$=$=
    $5$5 $4$4 $1$1    
    $0$0 $-1$−1 $-2$−2    
be raised to a power?
Easy
< 1min
Can the matrix $A$A$=$=
    $0$0 $4$4    
    $3$3 $-2$−2    
    $-5$−5 $5$5    
be raised to a power?
Easy
< 1min
Can the matrix $A$A$=$=
    $-2$−2 $-5$−5 $-4$−4    
    $2$2 $-3$−3 $5$5    
    $0$0 $-1$−1 $3$3    
be raised to a power?
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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