ass math.docx - JANUARY 2018 BBMP1103 MATHEMATICS FOR MANAGEMENT MATRICULATION NO 960606017041002 IDENTITY CARD NO 960606017041 TELEPHONE NO 017-7760019

ass math.docx - JANUARY 2018 BBMP1103 MATHEMATICS FOR...

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JANUARY 2018 BBMP1103 MATHEMATICS FOR MANAGEMENT MATRICULATION NO : 960606017041002 IDENTITY CARD NO. : 960606017041 TELEPHONE NO. : 017-7760019 E-MAIL : [email protected] LEARNING CENTRE : OUM BATU PAHAT 1
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Content : Bil Description Page 1 Question 1 3 2 Question 2 6 3 Question 3 10 4 References 11 2
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QUESTION 1 a) i) Matrix A is 3x3 Matrix B is 3x3 Matrix C is 3x1 ii) Matrix A, Element a 13 = 9 a 23 = 3 a 32 =− 9 iii) 5B-C ( 5 9 3 ) ( 30 50 35 ) = ( 25 45 15 ) ( 30 50 35 ) = ( 55 95 20 ) 3
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iv) AB+C ( 0 1 3 9 10 13 892 ) × ( 5 9 3 ) ( 30 50 35 ) ¿ ( ( 0 × 5 ) + ( 1 3 × 5 ) +( 9 × 3 ) ( 10 × 5 ) + ( 1 × 9 ) +( 3 × 3 ) ( 8 × 5 ) + ( 9 × 9 ) +( 2 × 3 ) ) ( 30 50 35 ) ¿ ( 30 50 35 ) + ( 30 50 35 ) ¿ ( 0 0 0 ) 4
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b) w = ( 23 45 ) Inverse matrix by using cofactor method : Determinant |w| = (2) (5) – (3)(4) = -2 The minor of w 11 = 5, w 12 = 4, w 21 = 3, w 22 = 2, Therefore, the minor of matrix W is Minor w = ( 54 32 ) Cofactor W = 1 ¿ ¿ ¿ 1 + 1 ( 5 ) ¿ ( 1 ) 1 + 2 ( 4 ) ¿ ¿ ¿ = Adjoint W = [ 5 4 3 2 ] Using the formula : ¿ w ¿ × W 1 = 1 ¿ adjoint W Inverse W Determinant 5
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= 1 2 × [ 5 3 4 2 ] = [ 5 2 3 2 2 1 ] QUESTION 2 2a (i) 2 x 2 +1 + = x 2
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