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MTH501 Linear Algebra Assignment 01 Fall 2020 Solution / Discussion Due Date: 03-12-2020

MTH501 Linear Algebra Assignment 01 Fall 2020 Solution / Discussion Due Date: 03-12-2020

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MTH501 Assignment No.1 Solution Fall 2020

Q1. Let S= {v1, v2, v3, v4} be the vectors in R3 where
v1=[■(1@-2@1)],v2=[■(2@-3@-5)],v3=[■(3@-4@1)],v4=[■(-0@4@3)]
Determine whether the set S spans R3.
Q2. Given the system of linear equations
x1+2x2-3x3=4
3x1-x2+5x3=2
4x1+x2+ (a2-14) x3=a+2
For which value of “a” the system have one solution, infinite solution and no solution.

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