Tutorial 2 - A = 1 5 2-6 9 0 1-7 4-8 1 5 3-13 13-7 2 10...

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Tutorial 2 MATH 1104 1-Last name: First name: 2-Last name: First name: 3-Last name: First name: 4-Last name: First name: 5-Last name: First name: ——————————————————————————— 1. Mark each statement True or False: a : T F : Row Echelon form is unique and reduced row echelon form is not unique. b : T F : The columns of any 5 × 6 matrix are linearly dependent. c : T F : The columns of a matrix A are linearly independent if the equation Ax = 0 has the trivial solution. d : T F : If A is an m × n matrix and if the equation A x = b is inconsistent for some b in R n , then A cannot have a pivot position in every row. ——————————————————————————— 2. Describe all solutions of A x = 0 in parametric form, where:
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Unformatted text preview: A = 1 5 2-6 9 0 1-7 4-8 1 5 3-13 13-7 2 10 4-12 18 . ——————————————————————————— 3. Find the value(s) of h for which the vectors are linear dependent: a : 2-4 1 , -6 7-3 , 8 h 4 b : 1-1-3 , -5 7 8 , 1 1 h ——————————————————————————— 4-Determine if the columns of the matrix form a linear independent set: A = 1-3 3-2-3 7-1 2 1-4 3 , B = -4-3 0-1 4 1 0 3 5 4 6...
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This note was uploaded on 03/22/2010 for the course MATH 1104 taught by Professor Unknown during the Fall '10 term at Carleton.

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