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0 7. Let A= 71 -2 1 2 -1 -1 (1 2 2 , B= 1 -2 1 -1 10 and C= 1 -3 2 100 1 100 (a) Compute det A, det B, det C, det(AB) and det

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I have used the formula of determinant, the fact that for a matrix with non zero determinant , it is2 A=2-1 -1 -2 - 2 -3 2 (a)dut A= (-242) ) t(4) +2 fclet A-15 dut(4-0) +2 (-2-0) +1(3-1) dlet b - +e = 0 . dsb C= - 75 ale Ana:)6 o2/5Ys 4) AC= 2 -l 2 2 Al=T ! So, AC ASC are imine mathicso (i) Vhe egnations 22 22--2 = -/ ty4223 Can be anibten as 2 boNew T 23 -5 23 2 A0, far ome non-euo uutan , n ^(Av) A0 = 0 AU20 Lhieh 19 a lontradiction 20 as u ansumd theb, 19 is non tro invertible.

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