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a b c 2. a) (10 pts) Let |A| = d e f = 3 and consider the following matrices: g h j a (b+c)

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a b c 2. a) (10 pts) Let |A| = d e f = 3 and consider the following matrices: g h j a (b+c) (ca) 2a 2b 2c 82 d (5+f) (fd) C: d e f g (h+j) (jg) 29 2h 23' Calculate the determinants of matrices B and C and explain briey your reasoning. b) Suppose matrix W is nonsingular and WZ = 0, where O is the n x 'n. null matrix. (i) (5 pts) Does Z have to be a null matrix? Explain briey

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