Without using pencil and paper, determine which of the following homogeneous systems have nontrivial solutions. (a) 2xj = 3x2+ 4x3= x4-0 7x1+ x2-8x3 + 9x4=0 2x1 + 8x2 + x3- x4=0 (b) x1 + 3x2 - x3=0 x2= 8x3=0 4x3-0 (e) a}x1+a12#2+a1373 = 0 (d) 3x1 =2x2= 0 6x1 – 4x2=0

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