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Find all solutions to the following system of equations

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MATH 54 QUIZ 1-

1. Find all solutions to the following system of equations. Write your answer in parametric vector form.

x2 + 2x3 = 5

2x1 + 6x2 + x3 = 9

-x1 - x2 + 3x3 = 4

3x1 + 5x2 - x3 = 10

2. Give an example of a matrix that is not in echelon form. Give an example of a matrix that is in echelon form but is not in reduced echelon form.

3. Do the columns of A =1092_Figure.pngspan R3? Justify your answer.

4. Let v1, v2, v3 and w be four vectors in R3. Suppose that w ∈ Span{v1, v2, v3}. Prove that w ∈ Span{v1 + v2, v2, v3}.

5. Write anything you like here (comments, questions, suggestions, etc).

Reference no: EM131076278

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