Apps. and Interpretation for IBDP Maths Ebook 2 | Page 235

www . seprodstore . com 225 13 ( a ) 0.7 0.45 0.3 0.55 � � � � � � � T A2 [ 2 ] ( b ) The characteristic polynomial of T det ( ) � �� T I 0.7 0.45 0.3 0.55 � � � � � ( M1 ) for valid approach ( 0.7 )( 0.55 ) ( 0.45 )( 0.3 ) � � � � � � 2 0.385 0.7 0.55 0.135 � � � � � � � � 2 1.25 0.25 � � � � � A1 [ 2 ] ( c ) 1 1 4 � � , 2 1 � � A2 [ 2 ] ( d ) 1 1 1 � � � � � � � � v , 2 1 2 3 � � � � � � � � � � � v A2 [ 2 ] ( e ) ( i ) 1 1 2 1 3 � � � � � � � � � � � A1 ( ii ) 1 0 4 0 1 n � � � � � � � � � � � � � � � � A2 [ 3 ] ( f ) 1 1 1 1 1 1 0 4 2 2 1 1 3 3 0 1 n n � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � T 1 1 1 1 1 4 2 1 1 2 3 4 3 n n n � � � � � � �� � � � � � � �� � � � � � � � � � � � � �� � � � � � � � � � � T A1 1 2 3 1 4 5 5 3 3 1 2 5 5 4 3 n n n � � � � � � � � � � � � � � � � � � � � � � � � � � � �� � � � � � � � � � � � � T ( A1 ) for correct approach Solution

www . seprodstore . com 225 13 ( a ) 0.7 0.45 0.3 0.55 � � � � � � � T A2 [ 2 ] ( b ) The characteristic polynomial of T det ( ) � �� T I 0.7 0.45 0.3 0.55 � � � � � ( M1 ) for valid approach ( 0.7 )( 0.55 ) ( 0.45 )( 0.3 ) � � � � � � 2 0.385 0.7 0.55 0.135 � � � � � � � � 2 1.25 0.25 � � � � � A1 [ 2 ] ( c ) 1 1 4 � � , 2 1 � � A2 [ 2 ] ( d ) 1 1 1 � � � � � � � � v , 2 1 2 3 � � � � � � � � � � � v A2 [ 2 ] ( e ) ( i ) 1 1 2 1 3 � � � � � � � � � � � A1 ( ii ) 1 0 4 0 1 n � � � � � � � � � � � � � � � � A2 [ 3 ] ( f ) 1 1 1 1 1 1 0 4 2 2 1 1 3 3 0 1 n n � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � T 1 1 1 1 1 4 2 1 1 2 3 4 3 n n n � � � � � � �� � � � � � � �� � � � � � � � � � � � � �� � � � � � � � � � � T A1 1 2 3 1 4 5 5 3 3 1 2 5 5 4 3 n n n � � � � � � � � � � � � � � � � � � � � � � � � � � � �� � � � � � � � � � � � � T ( A1 ) for correct approach Solution