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NMAI057 – Linear algebra 1 Tutorial 2

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NMAI057 – Linear algebra 1 Tutorial 2

Date: October 6, 2021 TA: Denys Bulavka

Problem 1. OverR, find all solutions for the system of linear equations x+ 2y= 5

2x− y= 0

Problem 2. OverR, find all solutions for the system of linear equations x−3z= 1

−2x+ 6z=−2

Problem 3. OverR, find all solutions for the system of linear equations x+ y−z= 1

2x+ 2y+z= 5 x− y−z=−1

Problem 4. OverR, find all solutions for the system of linear equations x+ y−z= 1

2x+ 2y+z= 5

Problem 5. OverR, find all solutions for the system of linear equations 2x+ 2y+z= 5

x− y−z=−1

Problem 6. OverR, find all solutions for the system of linear equations x1+ x2+x3+x4 = 3

x1−2x2−x3−x4 = 1

1

(2)

Problem 7. OverR, find all solutions for the system of linear equations 2y−3z=−1

x−5y+ 4z= 1

−3x+ y+ 2z=−3

2

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