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4.13 Matrices as functions

Interactive practice questions

Consider transformation $T$T and point matrix $P$P. In the multiplication $T\cdot P$T·P what transformation does matrix $T$T perform on the point $P$P?

$T$T=
    $1$1 $0$0    
    $0$0 $1$1    
  $P$P=
    $1$1    
    $6$6    

Reflection about the origin.

A

Reflection about the line $y=x$y=x.

B

Reflection about the $x$x-axis.

C

Reflection about the $y$y-axis.

D

Keeps the point unchanged.

E
Medium
< 1min

Consider transformation $T$T and point matrix $P$P. In the multiplication $T\cdot P$T·P what transformation does matrix $T$T perform on the point $P$P?

Medium
< 1min

Consider transformation $T$T and point matrix $P$P. In the multiplication $T\cdot P$T·P what transformation does matrix $T$T perform on the point $P$P?

Medium
< 1min

Consider transformation $T$T and point matrix $P$P. In the multiplication $T\cdot P$T·P what transformation does matrix $T$T perform on the point $P$P?

Medium
< 1min
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Outcomes

4.13.A

Determine the association between a linear transformation and a matrix.

4.13.B

Determine the composition of two linear transformations.

4.13.C

Determine the inverse of a linear transformation.

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