# test1a - Version 1 1 Solutions to Test 1 MATH 1104F Winter...

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Version 1 1 Solutions to Test 1 - MATH 1104F - Winter 2010 Version 1 PART I: Multiple choice questions (4 points each) Choose and circle only one answer. No partial marks here. No justiﬁcation is required. 1. Which of the following matrices are in reduced row echelon form (RREF)? A = 1 4 - 5 0 0 0 0 0 1 B = ± 1 - 1 0 2 0 1 4 5 ² C = 0 1 0 0 0 0 D = ± 0 1 2 0 - 1 0 0 0 1 2 ² (a) A and B only (b) C and D only (c) C only (d) D only Solution: (b) 2. Let - 1 1 1 | 3 0 2 4 | - 1 0 0 ( a - 1)( b + 3) | b + 3 be the augmented matrix for a system of linear equations. If the system is inconsistent, then (a) a = 1, b = - 3 (b) a 6 = 1, b = - 3 (c) a = 1, b 6 = - 3 (d) a 6 = 1, b 6 = - 3 Solution: (c) 3. Which of the following statements are true? (i) The solution set of a consistent equation Ax = b with a solution p is the set of all vectors of the form w = p + v h where v h is any solution of Ax = 0. (ii) A homogeneous system can be inconsistent.

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## This note was uploaded on 03/22/2010 for the course MATH 1104 taught by Professor Unknown during the Winter '10 term at Carleton.

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test1a - Version 1 1 Solutions to Test 1 MATH 1104F Winter...

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