MATH 2210Q Midterm: 2210-Test-1
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The closer your guess the more extra points you receive; perfect guess: 3 points, within one point: 2 points, within two points: 1 point. The system of equations given by the augmented matrix (6) 1 3 2 (cid:21) (cid:20) 3 9 6: is inconsistent, is consistent and has exactly one solution, is consistent and has more than one solution. Describe the solution set to the following system of linear equations (if in nitely many solutions, use parametric form): (8) x1 + x2 + x3 = 4. Page 1 of 5: suppose s = Is the set s linearly independent? (show how you arrive at your answer. ) (9) (b) 3 in span s? (show how you arrive at your answer. ) (9) (c) Give an example of a vector in span s that is not in s. (8) Page 2 of 5: let l : r3. R3 be the linear transformation de ned by l .
