1) If A = 35 and B = (³5) (64) -4 0 -2 Find:- a) BA b) | A| = = c) Adjoint B d) A-¹
1) If A = 35 and B = (³5) (64) -4 0 -2 Find:- a) BA b) | A| = = c) Adjoint B d) A-¹
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![1) If A =
Find:- a) BA
35)
-4
and B =
b) | A| =
=
2) a) Using matrix method solve the following simultaneous equations
1x + 4y = 9
2x-3y = 7
Find:-
a) Find the determinant of the following matrix
(
c) If told that the determinant of A = -30 find the possible value(s) for X
4x
2x
6
(24)
-2
A =
i) f(-3) =
4. Given the functions
c) Adjoint B d) A-¹
X
4
iv) hof(x)
3) Given that f(x) = 3x - 5 g(x) = 2x-6
4
ii) g[f(0)] =
2 -1 -6
04 2
8 -2
and h(x) = x + 4
2x
h(x) = 3x - 6
2x - 4
5. Two numbers when multiplied equals 42.
v) h¹ (1) =
find h*¹(x)
iii) f[h(2)] =
If one number is x and the other number one less than x
a) Represent the information given in equation form
b) Express as a quadratic equation
c) Solve the quadratic equation to find possible values for x
d) If told that the two number are positive numbers, what are the values of the two
original numbers?
6. Solve the following quadratic equations (hint use the quadratic formula)
a) 5x² + 22x+8=0
b) 8x² + 2x - 15 = 0
7. Find the equation of the line joining the points (3, -6) and (-5, 6).
8. Find the equation of the line passing through the point (-7,3) and
perpendicular to the line 4y = 9-3x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc67e4ba-a061-42d7-a5eb-e7d9700747f2%2Fc1ad024c-2906-4a69-95a5-80234a1ee825%2Fu2ums2c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1) If A =
Find:- a) BA
35)
-4
and B =
b) | A| =
=
2) a) Using matrix method solve the following simultaneous equations
1x + 4y = 9
2x-3y = 7
Find:-
a) Find the determinant of the following matrix
(
c) If told that the determinant of A = -30 find the possible value(s) for X
4x
2x
6
(24)
-2
A =
i) f(-3) =
4. Given the functions
c) Adjoint B d) A-¹
X
4
iv) hof(x)
3) Given that f(x) = 3x - 5 g(x) = 2x-6
4
ii) g[f(0)] =
2 -1 -6
04 2
8 -2
and h(x) = x + 4
2x
h(x) = 3x - 6
2x - 4
5. Two numbers when multiplied equals 42.
v) h¹ (1) =
find h*¹(x)
iii) f[h(2)] =
If one number is x and the other number one less than x
a) Represent the information given in equation form
b) Express as a quadratic equation
c) Solve the quadratic equation to find possible values for x
d) If told that the two number are positive numbers, what are the values of the two
original numbers?
6. Solve the following quadratic equations (hint use the quadratic formula)
a) 5x² + 22x+8=0
b) 8x² + 2x - 15 = 0
7. Find the equation of the line joining the points (3, -6) and (-5, 6).
8. Find the equation of the line passing through the point (-7,3) and
perpendicular to the line 4y = 9-3x
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