Your Practice Set – Applications and Interpretation for IBDP Mathematics
Exercise 28
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1 . The transformation S and T are represented by the matrices
respectively .
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�0 2� � � �1 0� |
and |
�0 1� � � �3 0� |
( a ) Find ST .
( b ) Describe the transformation represented by ST .
( c ) ST transforms the point ( 3 , � 5 ) to the point P . Find the coordinates of P .
[ 2 ]
[ 1 ]
[ 2 ]
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2 . The transformation S and T are represented by the matrices
respectively .
|
��1 0 � � � � 0 �1� |
and |
�1 0 � � � �0 �1� |
( a ) Find ST .
( b ) Describe the transformation represented by ST .
( c ) ST transforms the point P to the point ( 2,1 ) . Find the coordinates of P .
[ 2 ]
[ 1 ]
[ 3 ]
3 . Let
� 3 1 � � � 2 2
T � � �. � 1 3 �
��
� � 2 2 �
( a ) Describe the transformation represented by T .
( b ) T transforms the point ( 4 , 4 ) to the point P . Find the coordinates of P .
( c ) Write down the smallest positive integer n such that identity matrix .
T n � I , where I is a 2� 2
[ 1 ]
[ 2 ]
[ 2 ]
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