Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 53E
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Question
Qno2
Transcribed Image Text:3 al 69% i 4:36 a.m.
+ A2.LA.S21.pdf
Question 1
4
1
Evaluate det(A), if A=
-5
1
6
1
2
3
5 -4
Question 2
x -1
1
7 9 3
0 2 5
= 0
2x +2 6 3
Evaluate x, if
-2
1 1 0
Question 3
la a? be
Show that b bz ac = (a - b)(b - c)(c - a)(ab + be + ca)
le e ab
Question 4
a +x b+c|
Without expansion show that, x b+x c+a = 0
Ix c+x a+ bl
Question 5
Find the rank of the following matrix
3
3
1
-2
3
0 -7
Question 6
Solve the given system of homogenous linear equations by Gaussian elimination method
x+y+z+u= 2
2x - y + 2z - u = -5
3x + 2y + 3z + 4u = 7
x - 2y - 3z + Zu = 5
Prepared by
Engr. Abrar Khalid
Question 7
Solve the given system of homogenous linear equations by Gauss-Jordan elimination method
2x + 2y + 4z = 0
w - y - 3z = 0
Zw + 3x +y +z= 0
-2w +x+ 3y - 2y = 0
Question 8
Find the value of 'A' for which the following system has non-trivial solution. Also, solve the system for
the value of A.
I+y+z= 0
2x + y- Az = 0
x+ 2y – 2z = 0
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