answer part b using guass jordan elimination (b) Given A=74-10 21616 14Find (i) a basis for the row space of A.(ii) rank (A).(c) Given the system of linear equations4x = y + 2z = 02x+3y-z=03x + y + z = 0Find (i) a basis for the solution space.(ii) the dimension of the solution space.(d) Solve the nonhomogeneous system of linear equations2x-4y+5=8-7x+14y+4= = -283x-6y+z=12Write the solution in the form x = x + x, where x, is a solution of Ax= 0 and x, is a particularsolution of Ax = b.

The given matrix is; 7 0 2 4 1 6 -1 16 14.

Answered: (b) Given A= 7 0 4 1 6 -1 16 14 2 Find…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 48CR: Find an orthonormal basis for the solution space of the homogeneous system of linear equations....

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(b) Given A= 7 0 4 1 6 -1 16 14 2 Find (i) a basis for the row space of A. (ii) rank (A).