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2. Show that the system equation 2x-y+32 =9,x+y+z=&x-y+z=2are consistent and Solve them. |
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Answer» 2x-y+3z=9,x+y+z=6,x-y+z=2 solve in matrix method. 2x-y+3z=9,x+y+z=6,x-y+z=2 solve i 2x - y + 3z = 9x + y + z = 6x - y + z = 2 Thus matrix can be formed as[ 2 -1 3 1 1 1 1 -1 1 ] [ x y z ] = [ 9 6 2 ]orA X = BA inverse Can be calculated asAdj A = [ 2 0 -6 -2 -1 1 2 -1 -1 ]l A l = 2 (1 +1) - 1 (1 - 1) + 3 (-1 - 1) = 4 - 0 -6 = -2ThusA inverse = [ -1 0 3 1 1/2 -1/2 -1 1/2 1/2 ]Thus X = A inverse B[x y z ] = [ -1 0 3 1 1/2 -1/2 -1 1/2 1/2 ] [ 9 6 2 ] = [ -3 11 -5 ]Thusx = -3y = 11z = -5 Read more on Brainly.in - https://brainly.in/question/2380144#readmore |
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