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11TH · MATH

Question 4

menu_bookSolutionmenu_bookTheorymenu_book•(i)x−2y+z=−1,  3x+y−2z=4,  y−z=1x-2y+z=-1,\; 3x+y-2z=4,\; y-z=1x−2y+z=−1,3x+y−2z=4,y−z=1menu_book•(ii)2x1+x2+3x3=3,  x1+3x2−2x3=0,  −3x1−x2+2x3=42x_1+x_2+3x_3=3,\; x_1+3x_2-2x_3=0,\; -3x_1-x_2+2x_3=42x1​+x2​+3x3​=3,x1​+3x2​−2x3​=0,−3x1​−x2​+2x3​=4menu_book•(iii)x+y=2,  2x−z=1,  2y−3z=−1x+y=2,\; 2x-z=1,\; 2y-3z=-1x+y=2,2x−z=1,2y−3z=−1
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11TH · MATH

Question 4

menu_bookSolutionmenu_bookTheorymenu_book•(i)x−2y+z=−1,  3x+y−2z=4,  y−z=1x-2y+z=-1,\; 3x+y-2z=4,\; y-z=1x−2y+z=−1,3x+y−2z=4,y−z=1menu_book•(ii)2x1+x2+3x3=3,  x1+3x2−2x3=0,  −3x1−x2+2x3=42x_1+x_2+3x_3=3,\; x_1+3x_2-2x_3=0,\; -3x_1-x_2+2x_3=42x1​+x2​+3x3​=3,x1​+3x2​−2x3​=0,−3x1​−x2​+2x3​=4menu_book•(iii)x+y=2,  2x−z=1,  2y−3z=−1x+y=2,\; 2x-z=1,\; 2y-3z=-1x+y=2,2x−z=1,2y−3z=−1
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Accedmychevron_right11thchevron_rightmathchevron_rightMatrices And Determinantschevron_rightExercise 4.3

(iii)

x=1,  y=1,  z=1\boxed{x=1,\; y=1,\; z=1}x=1,y=1,z=1​
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(iii)