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# 21/le/content/352479/viewContent/3310368/View?ou = 352479 1020 1050 1040 St. John's, NL - 7 Da... MEMORIAL UNIVERSITY OF NEWFOUNDLAND...

## Question

###### 21/le/content/352479/viewContent/3310368/View?ou = 352479 1020 1050 1040 St. John's, NL - 7 Da... MEMORIAL UNIVERSITY OF NEWFOUNDLAND... 21/le/content/352479/viewContent/3310368/View?ou = 352479 1020 1050 1040 St. John's, NL - 7 Da... MEMORIAL UNIVERSITY OF NEWFOUNDLAND DEPARTMENT OF MATHEMATICS AND STATISTICS © Solomon Assignment 8 Mathematics 2050 Spring 2020 Due: July 30, 2020, 11:59 pm . SHOW ALL WORK a b c -T (3) 1. If pg T -1, compute 3p+a 3q+b3r + 2p 24 2r   2. (a) What are the possible values of det(A) if A-' = A' ? (b) A matrix is skew symmetric if A" = -A. If A is a skew - symmetric matrix of odd order, show that A is not invertible. (c) Let A and B ben x n matrices with det(A) = det(B) +0. If a and b are non-zero real numbers, show that det(aA +bB-1) = det(aB+bA-)  3. Use determinants to find which real values of c make the matrix с 0 -1 1 0 2 с invertible. c  4. Find the characteristic polynomial, the eigenvalues and corresponding eigenvectors of each of the following matrices 1 2 - 2 (a) 3 2 (b) 6 -6 2

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