Question 1(a) Find the solution of the equations by the use of determinants (Cramer's Rule): 2x+3y+2=0 3x+4y+6=0 1 1 1 Question 1(b) Factorize a b C a b c² Question 2(a) Find the inverse of the matrix A = (10) (20) (( 4 by adjoint method. (10) 2 0 1 determine the eigenvalues of the. -12 0 Question 2(b) If Ax=x, where A= -1 4-1 matrix A and an eigenvector corresponding to any one eigenvalue. (25) 2 9 Question 3(a) Given that A= 6 0 4 15-3 and 8 0: find A.B and B.A (15) -4 7) Question 3(b) Solve the set of equations by Gaussian elimination method I x-4y-2z=21 2x+y+2z = 3 3x + 2y z=-2 d States) Text Predictions: On Accessibility: Unavailable DELL (20) Focu

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 32E
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Question 1(a) Find the solution of the equations by the use of determinants (Cramer's
Rule):
2x+3y+2=0
3x+4y+6=0
1
1
1
Question 1(b) Factorize
a b C
a b c²
Question 2(a) Find the inverse of the matrix A =
(10)
(20)
(( 4
by adjoint method.
(10)
2
0 1
determine the eigenvalues of the.
-12 0
Question 2(b) If Ax=x, where A= -1 4-1
matrix A and an eigenvector corresponding to any one eigenvalue.
(25)
2
9
Question 3(a) Given that A=
6 0 4
15-3
and
8
0: find A.B and B.A
(15)
-4 7)
Question 3(b) Solve the set of equations by Gaussian elimination method
I
x-4y-2z=21
2x+y+2z = 3
3x + 2y z=-2
d States)
Text Predictions: On
Accessibility: Unavailable
DELL
(20)
Focu
Transcribed Image Text:Question 1(a) Find the solution of the equations by the use of determinants (Cramer's Rule): 2x+3y+2=0 3x+4y+6=0 1 1 1 Question 1(b) Factorize a b C a b c² Question 2(a) Find the inverse of the matrix A = (10) (20) (( 4 by adjoint method. (10) 2 0 1 determine the eigenvalues of the. -12 0 Question 2(b) If Ax=x, where A= -1 4-1 matrix A and an eigenvector corresponding to any one eigenvalue. (25) 2 9 Question 3(a) Given that A= 6 0 4 15-3 and 8 0: find A.B and B.A (15) -4 7) Question 3(b) Solve the set of equations by Gaussian elimination method I x-4y-2z=21 2x+y+2z = 3 3x + 2y z=-2 d States) Text Predictions: On Accessibility: Unavailable DELL (20) Focu
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