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Question 9 Salve the given system of linear equations by Gaussian Elimination: 3x - y+a+7w = 13 -2x + y--3w = -9 -2x +y- 7w =-

Question 9 Salve the given system of linear equations by Gaussian Elimination: 3x - y+a+7w = 13 -2x + y--3w = -9 -2x +y- 7w =-

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 2BEXP
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b 3 al 54% I 5:43 a.m. + A2.LA.S21.pdf Question 6 Solve the given system of homogenaus linear equations by Gaussian elimination method I+y+z+u= 2 2x - y+2z -u = -5 Ir + Zy + 3z+ 4u = 7 x- 2y - 3z + Zu = 5 Prepared by Engr. Abrar Khalid Question 7 Solve the given system of homogenaus linear equations by Gauss-Jordan elimination method 2x + 2y +4z = 0 w-y - 3z = 0 Zw +3r + y+z= 0 2/3 -2w +x+3y - 2y = 0 Question 8 Find the value of 'A' for which the following system has non-trivial solution. Also, salve the system for the value of A. I+y+z=0 2x+y- dz = 0 x+ 2y - 22 =0 Question 9 Salve the given system of inear equations by Gaussian Elimination: 3x - y +z+ 7w = 13 -2r + y-z- 3w = -9 -2x +y- 7w = -a Question 10 Using determinants find the value of k, so that the points (k, 2-2k), (-k+1, 2k) and (4-k, 6-24) may be callinear. Question 11 (a) Find an equation of the plane passing through the points (0, 1, 0), (-1, 3, 2), and (-2, 0, 1). Prepared by Engr. Abrar Khalid
Transcribed Image Text:b 3 al 54% I 5:43 a.m. + A2.LA.S21.pdf Question 6 Solve the given system of homogenaus linear equations by Gaussian elimination method I+y+z+u= 2 2x - y+2z -u = -5 Ir + Zy + 3z+ 4u = 7 x- 2y - 3z + Zu = 5 Prepared by Engr. Abrar Khalid Question 7 Solve the given system of homogenaus linear equations by Gauss-Jordan elimination method 2x + 2y +4z = 0 w-y - 3z = 0 Zw +3r + y+z= 0 2/3 -2w +x+3y - 2y = 0 Question 8 Find the value of 'A' for which the following system has non-trivial solution. Also, salve the system for the value of A. I+y+z=0 2x+y- dz = 0 x+ 2y - 22 =0 Question 9 Salve the given system of inear equations by Gaussian Elimination: 3x - y +z+ 7w = 13 -2r + y-z- 3w = -9 -2x +y- 7w = -a Question 10 Using determinants find the value of k, so that the points (k, 2-2k), (-k+1, 2k) and (4-k, 6-24) may be callinear. Question 11 (a) Find an equation of the plane passing through the points (0, 1, 0), (-1, 3, 2), and (-2, 0, 1). Prepared by Engr. Abrar Khalid
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