(d) Solve the nonhomogeneous system of linear equations 2x - 4y + 5z = 8 -7x+14y+4= = -28 3x-6y+z=12 Write the solution in the form x = x + x,,, where x is a solution of Ax = 0 and x,, is a particu
(d) Solve the nonhomogeneous system of linear equations 2x - 4y + 5z = 8 -7x+14y+4= = -28 3x-6y+z=12 Write the solution in the form x = x + x,,, where x is a solution of Ax = 0 and x,, is a particu
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 30E
Related questions
Question
answer part d using guass jordan elimination
![(b) Given A=
7
4
-1
0 2
1
6
16 14
Find (i) a basis for the row space of A.
(ii) rank (A).
(c) Given the system of linear equations
4x = y + 2z = 0
2x+3y-z=0
3x + y + z = 0
Find (i) a basis for the solution space.
(ii) the dimension of the solution space.
(d) Solve the nonhomogeneous system of linear equations
2x-4y+5=8
-7x+14y+4= = -28
3x-6y+z=12
Write the solution in the form x = x + x, where x, is a solution of Ax= 0 and x, is a particular
solution of Ax = b.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa41a264b-8aa9-4f3c-9fa6-3aeb660fb004%2F7cab3ad0-5e03-4e6e-a3d8-88a439dc73b2%2Ft29bph_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(b) Given A=
7
4
-1
0 2
1
6
16 14
Find (i) a basis for the row space of A.
(ii) rank (A).
(c) Given the system of linear equations
4x = y + 2z = 0
2x+3y-z=0
3x + y + z = 0
Find (i) a basis for the solution space.
(ii) the dimension of the solution space.
(d) Solve the nonhomogeneous system of linear equations
2x-4y+5=8
-7x+14y+4= = -28
3x-6y+z=12
Write the solution in the form x = x + x, where x, is a solution of Ax= 0 and x, is a particular
solution of Ax = b.
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