Consider the system X + 3x, + 2x3 7x4 8x, = 3x, + 4x5 = -5 -x 2.x, 2.x, 8x + + 8r, 8x5 %3D - (i) Compute the value of k which makes the system consistent. Using the value of k obtained in (i), find the general solution to the system of equations, and express it in parametric vector form. (11)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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Question 1
(a)
Consider the system
+ 3x, + 7x,
8x, = 1
%3D
3x,
+ 4x,
-5
2x,
2x,
-X2
%3!
2.x,
8x,
8r,
(i)
Compute the value of k which makes the system consistent.
Using the value of k obtained in (i), find the general solution to the
system of equations, and express it in parametric vector form.
(ii)
Transcribed Image Text:Question 1 (a) Consider the system + 3x, + 7x, 8x, = 1 %3D 3x, + 4x, -5 2x, 2x, -X2 %3! 2.x, 8x, 8r, (i) Compute the value of k which makes the system consistent. Using the value of k obtained in (i), find the general solution to the system of equations, and express it in parametric vector form. (ii)
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