Fall 2006 Midterm.pdf - THE UNIVERSITY OF MANITOBA DATE MIDTERM EXAMINATION DEPARTMENT COURSE NO 136.130 PAGE 1 of 6 EXAMINATION Vector Geometry Linear

# Fall 2006 Midterm.pdf - THE UNIVERSITY OF MANITOBA DATE...

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THE UNIVERSITY OF MANITOBA DATE: October 23, 2006 MIDTERM EXAMINATION DEPARTMENT & COURSE NO: 136.130 PAGE 1 of 6 EXAMINATION: Vector Geometry & Linear Algebra TIME: 1 hour EXAMINERS: Various Values [8] 1. Solve, by Gauss-Jordan elimination, the linear system: x"y"z="1"x+y+2z=22x"2y+z=1
THE UNIVERSITY OF MANITOBA DATE: October 23, 2006 MIDTERM EXAMINATION DEPARTMENT & COURSE NO: 136.130 PAGE 2 of 6 EXAMINATION: Vector Geometry & Linear Algebra TIME: 1 hour EXAMINERS: Various Values [8] 2. Let A=1"112#\$%&(, B=222234"#\$%&and . In each of the following cases, compute the given expression or briefly explain why the expression cannot be calculated: a) ABb) A+c) B+2Cd) AB"BA C = 1 " 1 0 " 1 1 " 3 # \$ % % % & ( ( ( B T
THE UNIVERSITY OF MANITOBA DATE: October 23, 2006 MIDTERM EXAMINATION DEPARTMENT & COURSE NO: 136.130 PAGE 3 of 6 EXAMINATION: Vector Geometry & Linear Algebra TIME: 1 hour EXAMINERS: Various Values [12] 3. Let A = 1 0 3 1 1 3 0 1 1 " # \$ \$ \$ % & . a) Find A " 1 . b) Use (a) to solve the system A x = 2 0 " 1 # \$ % % % & ( ( ( , where x is a column matrix of variables.
THE UNIVERSITY OF MANITOBA DATE: October 23, 2006