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Assignment Marketing Positioning

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BACHELOR OF BUSINESS ADMINISTRATION WITH HONOURS

SEMESTER JAN 2014

BBMP1103

MATHEMATICS FOR MANAGEMENT

MATRICULATION NO : 791016145081001

IDENTITY CARD NO. : 791016-14-5081

TELEPHONE NO. : 019-6641264

E-MAIL : arman_saad@yahoo.com

LEARNING CENTRE : SHAH ALAM

TABLE OF CONTENTS PAGE

QUESTION NO. 1 3 – 5

QUESTION NO . 2 6 – 7

QUESTION NO . 3 8 – 9

QUESTION NO . 4 10- 11

Question 1

x + 2y + z = 4

3x + z = 2

X – y + z = 1

a) Function into a matrix form, let A be the coefficient matrix

1 2 1 x 4

3 0 1 y 2

1 -1 1 z 1

A = 1 2 1

3 0 1

1 -1 1

b) Determinant of A = 1 0 1 -2 3 1 + 1 3 0

-1 1 1 1 1 -1

= 1 (1) -2 (2) + 1 (3)

= 1 - 4 + (-3)

= -6

c) Minor of A = 1 2 -3

3 0 -3

2 -2 -6

d) Cofactor of A = 1 x 1 = 1 -1 x 3 = -3 1 x 2 = 2

-1 x 2 = -2 1 x 0 = 0 -1 x (-2) = 2

1 x 3 = 3 -1 x (-3) = 3 1 x (-6) = -6

= 1 -2 -3

-3 0 3

2 2 -6

e) Adjoint of A = ( Cofactor A )

= 1 -2 -3

-3 0 3

2 2 -6

= 1 -3 2

-2 0 2

-3 3 -6

f) Inverse of A

A-1 = 1/-6 X 1 -3 2

-2

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