{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Applied Finite Mathematics HW Solutions 36

# Applied Finite Mathematics HW Solutions 36 - 20 Since the...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 20. Since the number of columns in C is not the same as the number of rows in F, this product is not deﬁned. 1 0 0 —1 2 3 _ 21. CTJ: (3 1 g) (:4 .5 6) . 5 3 2 -7 8 9 1(:1)+o(——4) +o(:7) 1(2) +0(5)+0(8) 1(3)+0( 6) 0(9) _ 3(~1) + 1(—-4) + 0(—7) 3(2) + 1(5) +0(8) 3(3) + 1( 6)+ 0(9) “ 2(—1)+4(—4)+0(—7) 2(2)+4(5) +0(8) 2(3) +4(6)+0(9) 5(—1)+ 3(—4) + 2(—7) 5(2) + 3(5) + 2(8) 5(3) + 3(6) + 2(9) :1 2 3 __ :7 11 15 _ —18 24 30 --31 41 51 - 1 1(1) 1(3) 1(2) 1 3 2 22. AAT : (1,3,2): 3(1) 3(3) 3(2) : 3 9 6 2(1) 2( 3() 2(2) 2 6 4 1 . 23. 3ATA: 3(,1 3, 2) )(3:) 3((31(1)+3 )+2(2))=(42) 2 - 3(— 1)+ +(— —4) )~1(~7) 3(2) +2(5)-— 1(8) 3(3) +203) : 1(9) 1 0 24. FJ+3G— 0(— 1) +2(— —4)+ 0(—7) 0(2) +2(5) +0(8) 0(3) +2(6)+0(9) +3 0 0 0(: 1)+ 0(: 4) +0(—7) 0(2)+0(5)1 +0( (8) 0(3)+0(6)+0(9) 0 o —4 8 12 3 0 0 12 -81012 000 :81:012 0 0 0 0 0 3 3 ' :1(3) +2(o) +3(o) :1(2) +2(2) 33(0)U —1(—1)+2(o) +3(0)) ( 1 25. JF:2E : —4(3)+5(0)+6(0) :4( (2()+5 2)+6(0() ,:4(—1)+5(0) +6(0) :2 0 :7(3) +8(0)+9(0) —7(2 )+8(2 )+9(0) :7(:1)+8(o) +9(o) :1 -—3 2 1 2 0 0 -—5 2 l =—l224-—040=~12—-24- —2127 _203 "19 2_1 -—1 —5 3 1 _ _1(3)_5(2) —1(1)—-5(5) __ :13 —26 26. (Am £004er= ( 4 :3) (2 5)—( 4(3):3(2) 4(1):3(5) )"( 6 :11) ' A2 _ 32 =1(1)-2(3) 102) "2(1) _ 2(2) +301) 2(3) +301) ) 3(1) +1(3) 3(:2) +1(1) :1(2) +4(:1) :1(3) +4(4) ._:.5:4 118_:6:22 “ 6 :5_:613”12—18 We would not expect this in general. If we expand (A -— B) (A + B), we obtain A2 + AB -— BA H Ba. This would be equal to A2 — 32' only if AB = BA. But matrix multiplication is not, in general, commutative. 27. There are many pairs of matrices that will accomplish this. The answer in the text is just one of them. ‘ 28. We can ﬁnd the student’s grade according to each of the schemes by multiplying the matriwe 0.10 0.10 0.30 0.50 g; 59.7 I 0.10 0.20 0.30 0.40 23 :- 58.4 . 0.15 0.15 0.35 0.35 ’15 57.25 TH.- m-«ﬁn! line In... madam 1n unntu-r‘um “Alla rmun'nhl law I“: Hm I Tnivmitv nl‘Mnnil'nha Rtmkﬁfm 'F-‘urll'lpr mmIdIIrrlim in Mr! or in full. 34 I EXERCISES 3.2 is xtn'nﬂv nmhihited. .-_""‘“\ .-‘(n_\\. ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online