Apps. and Interpretation for IBDP Maths Ebook 2 | Page 101

www . seprodstore . com 91 7 ( a ) The characteristic polynomial of A det ( ) � �� A I 2 1 5 4 � � � � � � � ( M1 ) for valid approach ( 2 )( 4 ) ( 1 )( 5 ) � � � � � � � � 2 8 2 4 5 � � � � � � � � � 2 2 3 � � � � � A1 [ 2 ] ( b ) 1 1 � �� , 2 3 � � A2 [ 2 ] ( c ) 1 1 1 � � � _{� �} � � v , 2 1 5 � � � _{� �} � � v A2 [ 2 ] ( d ) 1 2 det ( ) �� � � A 3 ( 1 )( 3 ) � �� � � ( M1 ) for setting equation 1 � � A1 [ 2 ] ( e ) ( i ) 1 1 1 5 � � � � � � A1 ( ii ) ( 1 ) 0 0 3 n n � � � � � � � A2 [ 3 ] ( f ) 1 1 1 1 1 ( 1 ) 0 1 5 1 5 0 3 n n n � � � � � � � � � � � � � � � � � � � � � A 1 1 1 ( 1 ) 3 1 5 ( 1 ) 5 3 n n n n n � � � � � � � � �� � � � � � � � A A1 5 1 ( 1 ) 3 4 4 1 1 ( 1 ) 5 3 4 4 n n n n n � � � � �� � � � � � � � � � � � � � _� � � � � A ( A1 ) for correct approach 5 1 1 1 ( 1 ) 3 ( 1 ) 3 4 4 4 4 5 5 1 5 ( 1 ) 3 ( 1 ) 3 4 4 4 4 n n n n n n n n n � � � � � � � � � � � � � � � � � � � � � � � � � � � A A1 [ 3 ] Solution