1) Use Cramer's Ruke to solve the following linear system:- x+ 3y -22 = 5 4x - y -3z-8 2x+2y -5z -7

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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السلؤال: )6 علامات(
Suppose a company has a total costs of 0.1x² + 35x + 15000, where x is the total number of
units produced, and a total revenue function is 385x-0.9x².
(a) Find the break-even points.
(b) Find the maximum profit.
السؤال: )16 علامة(
1) Use Cramer's Rule to solve the following linear system:-
x+ 3y -2z = 5
4x - y -3z = 8
2x+2y -5z =7
2): Given a matrix A=,
a) find the vahie ofx where the matrix A equal its own inverse
b) find the value of x if [3 1]A= [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
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.
Transcribed Image Text:السلؤال: )6 علامات( Suppose a company has a total costs of 0.1x² + 35x + 15000, where x is the total number of units produced, and a total revenue function is 385x-0.9x². (a) Find the break-even points. (b) Find the maximum profit. السؤال: )16 علامة( 1) Use Cramer's Rule to solve the following linear system:- x+ 3y -2z = 5 4x - y -3z = 8 2x+2y -5z =7 2): Given a matrix A=, a) find the vahie ofx where the matrix A equal its own inverse b) find the value of x if [3 1]A= [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 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.
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