1) Use Cramer's Ruke to solve the folowing linear system :- x+ 3y -2z = 5 4x - y -32 = 8 2x+2y -5z =7
1) Use Cramer's Ruke to solve the folowing linear system :- x+ 3y -2z = 5 4x - y -32 = 8 2x+2y -5z =7
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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23842aa3-82c5-4e4c-b54f-fbc6d80fcb44%2F5ce4b5db-b8cf-4f1b-af94-6d58a720fbe7%2F77egir_processed.jpeg&w=3840&q=75)
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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