1) Use Cramer's Ruke to solve the folowing linear system :- x+ 3y -2z = 5 4x - y -32 = 8 2x+2y -5z =7

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
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السؤال: )16 علامة(
1) Use Cramer's Rule to solve the folowing linear system :-
x + 3y -2z = 5
4x - y -3z = 8
2x+2y -5z =7
2) : Given a matrix A=L 4
[ 3 2x]
-31
a) find the value of x where the matrix A equal its own inverse
........ ............
b) find the value of x if [3 1JA= [7 3]
.............
c) find the value of x such that the matrix A is singular
............
d) find the value of x such that the matrix A is symmetric
......E
..............................
Page 1 of 2
3) : Write the equation of a line that has y-intercept = 2 and it is perpendicular to the line with
equation 3x -y = 4.
............
4): Find the range of the constant "c" so the equation 4x +cx+4 = 0, has no real roots?
.......................... .
5) Find the domain of the function f(x):
x-5
Transcribed Image Text:السؤال: )16 علامة( 1) Use Cramer's Rule to solve the folowing linear system :- x + 3y -2z = 5 4x - y -3z = 8 2x+2y -5z =7 2) : Given a matrix A=L 4 [ 3 2x] -31 a) find the value of x where the matrix A equal its own inverse ........ ............ b) find the value of x if [3 1JA= [7 3] ............. c) find the value of x such that the matrix A is singular ............ d) find the value of x such that the matrix A is symmetric ......E .............................. Page 1 of 2 3) : Write the equation of a line that has y-intercept = 2 and it is perpendicular to the line with equation 3x -y = 4. ............ 4): Find the range of the constant "c" so the equation 4x +cx+4 = 0, has no real roots? .......................... . 5) Find the domain of the function f(x): x-5
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