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Tutorial 1

Tutorial 1 - echelon form(RREF or neither A = 0 1 2 5 0 0 4...

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Tutorial 1 1107 D , Fall 2007 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: ——————————————————————————— Work on the first two questions and return your answer for 3’ 1.Find a Row Echelon Form and the Reduced Row Echelon Form of the following matrix: A = 3 6 1 6 3 4 2 4 1 6 3 4 1 2 1 2 3 0 4 8 3 10 6 10 . a- Find all possible basic and free variables of a system whose coefficient ma- trix is A . b- Verify the rank theorem. 2. For each matrix, state whether it is in echelon form (REF), in reduced
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Unformatted text preview: echelon form (RREF) or neither: A = 0 1 2 5 0 0 4 2 0 0 0 1 B = 1 0 2 7 4 0 0 0 5 2 0 0 0 0 5 C = 1 5 0 0 3 0 0 1 4 2 0 0 0 0 1 ——————————————————————————– 3- The following system is given: x + y + 3 z = 1 3 x + 5 y + 10 z = 6 2 x + 4 y + (9 + h ) z = 5 a- For what value(s) of h the system has inﬁnitely many solutions? b- For what value(s) of h the system is inconsistent? c- For what value(s) of h the system has a unique solution?...
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