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2. [16 marks) - T (a) Evaluate the determinant of matrix A where: ſi 3 -1 0 2 -4 A= -2 -6 2 3 37 - 38 (b) Solve the following(c) Use your answer to part(a) to determine the value of det (2A), where A is the same 4x4 matrix given in part(a). a) o de m

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A= -2 -6 3 C2 -> (2-3C1, C3->C3+CI A = -2 -2 8. = Ix [2 (0) +4 C6) -1 (0) TAI = b] D= TAI= 24 -6 -2 -3 -1 -2 3 Scanned with CExpand along Yow 2 (-1)2 +| -2 8. = -1x {-48 + 6 Ю, 03 18 3 -1 0 2 -4 -2 -6 C) dk(2A)= 2 2 3 -3 8 2 IAI =2X = 48 d7 Let a, ニ0a2 2. a3 R3>R3-3R, -> t. -1 -2 R, -> R2 t Ru 3 2 az+ 7Q4=O -202+6@3+ 804=0 a,+ 3 02-a3=o a,=0 as all values ai,Qz Scanned wit

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