MAT 1302 Midterm: MAT1302 University of Ottawa Exam sf03
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[8 points] (a) [1 pt] give an example of a matrix in rref (reduced row echelon form). Marking:1 point for any correct answer (1"s as pivots, echelon, zeros above, below and to the left of any pivot. ) 1(cid:21) +(cid:20) 3 (b) [1 pt] compute (cid:20)1. Marking:1 point correct answer (c) [3 pts] give 3 elements in span . Marking:1 point each correct vector; if you gave more than 3, only the rst three are checked. (d) [1 pt] given z = 3 + 4i compute |z|. Marking:1 point correct answer, deduct . 5 for answer 5. (e) [2 pts] give the roots of the polynomial x2 4x + 8. = 2 2i as the two roots. Marking:1 point for correct quadratic formula, 1 point for correct simpli cation; or. 2 point for correct answer by any means. The following is the augmented matrix of a system of linear equations, where k a parameter: