MATH 246 Midterm: Practice Exam 2 No Solutions Fall 2008
14 Mar 2019
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There are 7 pages in the exam including this page. You have to show work to get points for your answers. Use of calculators is not allowed during the exam. I agree to complete this exam without unauthorized assistance from any person, materials or device. Solve the system x + 2y + 3z = 1. The rank of the co ecient matrix is 2. Justify your answer. (a) there exists a 2 2 matrix a such that a 1 1. False. (b) there is a 2 3 matrix a of rank 2 such that a0. 3: 20 points. (a) consider the linear transformation t : r3 ! 1 x + y y + z x + z. Show that t is an invertible linear transformation. Compute the matrix for t 1. x y z. 1 0 1 0 0 1 x y z.
