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Posted: **Thu May 12, 2022 6:33 am**

: 1 20 Pts System Of Linear Equations Reduced Echelon 2 2x2 4x 3 14 4 Allis 2 2xy 14 2 All Zero Above Is 2 1 (17.14 KiB) Viewed 30 times

: 1 20 Pts System Of Linear Equations Reduced Echelon 2 2x2 4x 3 14 4 Allis 2 2xy 14 2 All Zero Above Is 2 2 (15.27 KiB) Viewed 30 times

: 1 20 Pts System Of Linear Equations Reduced Echelon 2 2x2 4x 3 14 4 Allis 2 2xy 14 2 All Zero Above Is 2 3 (12.68 KiB) Viewed 30 times

1. (20 pts) System of linear equations reduced echelon 2 + 2x2 + 4x + 3.14 4 -Allis 2 + 2xy + 14 2 - All zero above is 2x + x2 + 2x3 + 604 --1 (a). (12 pts) Find the reduced echelon form for the augmented matrix. (b). (8 pts) Is this linear system consistent? If yes, please write down the solution set in parametric vector form.

7. (6 pts) True or False (If false, construct a specific example to show that the statement is not always true. If true, give a justification.) For vectors in R“, if {V1, V2, V3, va) is linearly independent, then {V1, V2, V3} is also linearly independent.

4 3-5 4. (6 pts) Given A -2 -2 4 observe that the first column minus three -2-3 7 times the second column equals the third column. Find a nontrivial solution of Az = 0.