mdm12Section1_7_OddSolutionsFinal

# mdm12Section1_7_OddSolutionsFinal - Q1-3 Q7 Q11 Q15 Q19-21...

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Q1-3 Q5 Q7 Q9 Q11 Q13 Q15 Q17 Q19-21 CHAPTER 1 Section 1.7, pp. 74–77 Solutions to Odd Number Problems 1. a) 29 31 70 2 5 (2)( 3) (9)(2) (2)(1) (9)(5) ( 7)( 3) (0)(2) ( 7)(1) (0)(5) 12 47 21 7 BD ⎡⎤ = ⎢⎥ ⎣⎦ −+ + = −−+ + = b) 31 2 9 25 70 ( 3)(2) (1)( 7) ( 3)(9) (1)(0) (2)(2) (5)( 7) (2)(9) (5)(0) 13 27 31 18 DB = = +− + −− = c) 2 2929 70 70 (9)( 7) (9)(0) ( 7)(2) (0)( 7) ( 7)(9) (0)(0) 59 18 14 63 B = + = = d) This cannot be done. The number of columns in E does not equal the number of rows in A .

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e) 158 470 20 4 351 328 18 20 4 16 17 4 AC ⎡⎤ ⎢⎥ =− −− ⎣⎦ = f) 1581 20 42 328 3 (1)(1) (5)(2) (8)( 3) (2)(1) (0)(2) ( 4)( 3) (3 ) ( 1 ) (2 ) (2 ) (8 ) ) 13 14 31 CE ++ =+ + −+ −+− = g) 31 4 7 0 25 3 51 15 26 1 71 1 5 DA = = 3. 2 01 01 0000 (0)(0) (1)(0) (0)(1) 00 A = = = Therefore, 4 A = Top
5. Let . If ad – bc 0, A ab A cd = ⎣⎦ -1 = 1 db ad bc ca a) ad – bc = 2 1 41 1 2 20 20 . 5 10 A ⎡⎤ = ⎢⎥ = b) ad – bc = 0 The inverse does not exist. c) ad – bc = 3 1 1 363 1 0 3 21 A = = d) ad – bc = –2 1 23 1 2 45 11 . 5 22 . 5 A = = e) ad – bc = 0 The inverse does not exist. Top

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7. a) 1 2.5 2 11 A ⎡⎤ = ⎢⎥ ⎣⎦ () 1 1 1 2.5 2 1- 2 1 0.5 -1 2.5 2- 4 -2 5 A A = = = = . b) 24 5 7 2534 22 56 AB = −− = 1 31 2.5 1 AB = 1 472 . 52 3511 2.5 1 BA AB = = = c) 1 1 t 45 2.5 1 21 A = = t t 1 1 t 2.5 2 2.5 1 A A = = = Top
9. a) M T W T F S S 0808800C h r i s 44006 . 544L e e 0 4 4 4 4 8 8 Jagjeet 0333380P i e r r e 8888000M i n g 0035580B o b b y 3333300N i c o l e 8888800L o u i s 8008888G l e n d a 3 4.5 4 3 5 0 0 Imran A ⎡⎤ ⎢⎥ = ⎣⎦ b) 7.00 Chris 6.75 Lee 7.75 Jagjeet 6.75 Pierre 11.00 Ming 8.00 Bobby 7.00 Nicole 12.00 Louis 13.00 Glenda 7.75 Imran B = c) Hours Worked(h) Wage per Hour

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mdm12Section1_7_OddSolutionsFinal - Q1-3 Q7 Q11 Q15 Q19-21...

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