a) (Find all solutions of the linear system*i + 2x2 + 2r3 + 4 = 14-21 – 2r2 - 3r4 = -42r1 + 4r2 + 8r3-2r4 = 48.by using Gauss- Jordan method.b) (,For the given matrix:2 -1-12 -10 -10 0 -12 -1a) Compute the determinant.b) Calculate the rank.

Answered: Find all solutions of the linear system…

Find all solutions of the linear system *1 + 2r2 + 2r3+ 4 = 14 -I1 - 2x2 - 3r4 = -4 2r1 + 4r2 + 8r3 - 2r4 = 48. by using Gauss- Jordan method.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.CM: Cumulative Review

Problem 7CM: Solve the homogeneous linear system corresponding to the coefficient matrix. [121200242412]

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Question

a) (
Find all solutions of the linear system
*i + 2x2 + 2r3 + 4 = 14
-21 – 2r2 - 3r4 = -4
2r1 + 4r2 + 8r3-2r4 = 48.
by using Gauss- Jordan method.
b) (,
For the given matrix:
2 -1
-1
2 -1
0 -1
0 0 -1
2 -1
a) Compute the determinant.
b) Calculate the rank.

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