assignment1&2 solution - 9 . 0 1 2 3 4 5 6 0 0 1 2 3 4...

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1 University of Toronto at Scarborough Department of Computer and Mathematical Sciences Linear algebra II MATB24 Fall 2010 Section 1.4 29. F F T T F T T T F T
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2 Section 1.5
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3 Section 4.2
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4 Addition: 1) a) 5 4 2 3 3 2 4 1 5 a x a x a x a x a x b) 0 c) n j i i j x x 1 ) ( 2) When a, b, c have distinct values, the system has trivial solution. 3) Z 7 Z 6 There are no multiplicative inverses for 2, 3, 4. 4) Yes, U is a field under the indicated operations. 5) Yes, the matrix is invertible in Z 7. Since det(A) = 15 – 24 = - 9 = (-2)x7 + 5 = 5 But it isn’t invertible in Z
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Unformatted text preview: 9 . 0 1 2 3 4 5 6 0 0 1 2 3 4 5 6 1 1 2 3 4 5 6 0 2 2 3 4 5 6 0 1 3 3 4 5 6 0 1 2 4 4 5 6 0 1 2 3 5 5 6 0 1 2 3 4 6 6 0 1 2 3 4 5 0 1 2 3 4 5 6 0 0 0 0 0 0 0 0 1 0 1 2 3 4 5 6 2 0 2 4 6 1 3 5 3 0 3 6 2 5 1 4 4 0 4 1 5 2 6 3 5 0 5 3 1 6 4 2 6 0 6 5 4 3 2 1 0 1 2 3 4 5 0 0 1 2 3 4 5 1 1 2 3 4 5 0 2 2 3 4 5 0 1 3 3 4 5 0 1 2 4 4 5 0 1 2 3 5 5 0 1 2 3 4 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 2 3 4 5 2 0 2 4 0 2 4 3 0 3 0 3 0 3 4 0 4 2 2 4 2 5 0 5 4 3 4 1...
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This note was uploaded on 12/25/2010 for the course MATHEMATIC MATB24 taught by Professor Yang during the Fall '09 term at University of Toronto- Toronto.

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assignment1&2 solution - 9 . 0 1 2 3 4 5 6 0 0 1 2 3 4...

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