1) IfA=3 5 and B=64 (³5) -4 Find:- a) BA b) | A| = 2) a) Using matrix method solve the following simultaneous equations 1x + 4y = 9 2x-3y = 7 a) Find the determinant of the following matrix A = 3) Given that f(x)=3x-5 Find:- i) f(-3) = 4) c) Adjoint B d) A-¹ 4. Given the functions -2 -1 iv) hof(x) 2 -1 -6 3 8 -2 0 4 2 c) If told that the determinant of A = -30 find the possible value(s) for X 4x 2x (6 marks) G 4 g(x)=2x-6 and h(x)=x+4 ii) g[f(0)] = v) h¹¹ (1) = h(x) = 3x-6 2x - 4 2x (4,2,2,5mks) find h-¹(x) (8 marks) iii) f[h(2)] (4 marks) (2, 3, 3, 4, 4 marks) (5 marks)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...
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Question
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1) IfA=3 5 and B=64
(³5)
-4
Find:- a) BA
b) | A| =
2) a) Using matrix method solve the following simultaneous equations
1x + 4y = 9
2x-3y = 7
a) Find the determinant of the following matrix
(
A =
4)
c) Adjoint B d) A-¹
3) Given that f(x)=3x-5
Find:-
i) f(-3) =
-2 -1
4. Given the functions
iv) hof(x)
2 -1 -6
3 8 -2
0 4 2
c) If told that the determinant of A = -30 find the possible value(s) for X
4x
2x
(6 marks)
G
4
g(x)=2x-6 and h(x)=x+4
ii) g[f(0)] =
v) h¹¹ (1) =
h(x) = 3x-6
2x-4
2x
(4,2,2,5mks)
find h-¹(x)
(8 marks)
iii) f[h(2)]
(4 marks)
(2, 3, 3, 4, 4 marks)
(5 marks)
Transcribed Image Text:1) IfA=3 5 and B=64 (³5) -4 Find:- a) BA b) | A| = 2) a) Using matrix method solve the following simultaneous equations 1x + 4y = 9 2x-3y = 7 a) Find the determinant of the following matrix ( A = 4) c) Adjoint B d) A-¹ 3) Given that f(x)=3x-5 Find:- i) f(-3) = -2 -1 4. Given the functions iv) hof(x) 2 -1 -6 3 8 -2 0 4 2 c) If told that the determinant of A = -30 find the possible value(s) for X 4x 2x (6 marks) G 4 g(x)=2x-6 and h(x)=x+4 ii) g[f(0)] = v) h¹¹ (1) = h(x) = 3x-6 2x-4 2x (4,2,2,5mks) find h-¹(x) (8 marks) iii) f[h(2)] (4 marks) (2, 3, 3, 4, 4 marks) (5 marks)
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