1104 TEST1 (1).pdf - MATH 1104B TEST 1 The test cannot be...

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MATH 1104B TEST 1 Sept 28, 2015 The test cannot be taken out from the examination room. No calculators are allowed. Show your work. Duration: 50 minutes Total marks: 30 NAME: STUDENT NO : 1 [8 Marks] a) Two linear systems are equivalent if they have the same solution set. Answer (circle one): TRUE FALSE b) For any n m matrix A , the matrix T AA is always symmetric. Answer (circle one): TRUE FALSE c) If the augmented matrix [ A b ] in REF has a pivot position in every row, then the equation Ax = b is inconsistent. Answer (circle one): TRUE FALSE d) The equation Ax = b is homogeneous if the zero vector is a solution. Answer (circle one): TRUE FALSE 2. [8 Marks ] Answer the following. (Show your work ) i) [2 marks] Let 4 3 2 1 A and 8 7 6 5 B . Find A B 4 . ii) [2 marks] Let 4 3 2 1 A and 8 7 6 5 B . Find AB . iii) [2 marks] Let
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