mat67-2011-hw7

# mat67-2011-hw7 - Homework Assignment #7 Homework due. Math...

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Homework Assignment #7 Math 67 UC Davis, Fall 2011 Homework due. Tuesday 11/15/11 at discussion section. Reading material. Read Chapter 8 in the textbook. Problems 1. (a) Compute the composition σ π of permutations, where: i. σ = ± 1 2 3 4 5 6 1 3 6 2 4 5 ² , π = ± 1 2 3 4 5 6 6 5 1 2 3 4 ² ii. σ = ± 1 2 3 4 5 2 1 4 3 5 ² , π = ± 1 2 3 4 5 2 1 4 3 5 ² (b) Find the inverses of the permutations σ and π in part (a)-i. above. 2. For each of the following matrices, compute its determinant and its adjoint matrix. If the matrix is invertible, use the adjoint matrix to ﬁnd its inverse. (As usual, it is strongly recommended to check your answer by multiplying the matrix by the inverse matrix you found.) (a) 1 0 - 2 1 1 1 0 - 1 3 (b) 1 0 0 0 0 3 0 0 0 0 2 - 5 0 0 - 1 3 3. Let A be a square matrix of order 4. We perform the following sequence of elementary row operations on A : 1. Subtract 3 times row 1 from row 2.

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## This note was uploaded on 11/13/2011 for the course MATH 67 taught by Professor Schilling during the Fall '07 term at UC Davis.

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mat67-2011-hw7 - Homework Assignment #7 Homework due. Math...

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