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a)

hufi 2 1 Wait (3 marks) Let A = 1. Write A-1 as a product of elementary matrices. Show your work. 1 -1]

b)

[ 1 0 1] - (3 marks) Let A = -14 2 1 . Determine all values of q for which A is nonsingular. IO 1 q

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Answer #1

Solution: a) Given A={12 ri27 1. R2 R2 =R, 0 [12. AE [173 $ 1) = 6 3] 6:46 = Cip 3355 A = [68] Re-R2 1 / 7 GA = I RR, 2h2 3b) Given b) Given Azilio17 A²14 21 ) is a non-singulas le lAlto, 1 (291).-o(-149-0) + (1470): 70. 29-21470 >> q . for 9= 117

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