Apps. and Interpretation for IBDP Maths Ebook 2 | Page 108

Your Practice Set – Applications and Interpretation for IBDP Mathematics
The above three equations can be expressed in a matrix equation
3� 3 matrix , and
( b ) Write down
( i ) A ;
( ii ) B ;
�a �
� � X � b and B are two 3� 1 matrices .
�c
� �
AX � B , where A is a
( iii )
�1
A .
( c ) Hence , find the values of a , b and c .
( d ) Write down
[ 4 ]
[ 2 ]
( i ) the x -intercept ( s ) of the graph of f ;
3 . Let
( ii ) the y -intercept of the graph of f .
�1 0�
M � . �5 1�
[ 4 ]
( a ) ( i ) Find
( ii ) Find
2
M .
3
M .
Let
( iii ) By using the above results , write down
n � .
2 3 n sn ( ) � M � M � M � � M , where 1
50
M . [ 5 ]
( b ) ( i ) Write down s ( 2 ) .
( ii ) Write down s ( 3 ) .
Let
( iii ) By using the above results , find s ( 50 ) .
n � .
2 3 n pn ( ) � M�M �M � �M , where 1
[ 6 ]
( c ) Find p ( 50 ) . [ 4 ]
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