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11TH · MATH

Question 3

menu_bookSolutionmenu_bookTheorymenu_book•(i)2x+y−z=1,  x−y+2z=3,  3x+2y+z=42x+y-z=1,\; x-y+2z=3,\; 3x+2y+z=42x+y−z=1,x−y+2z=3,3x+2y+z=4menu_book•(ii)x1+2x2−3x3=0,  4x1−x2+x3=5,  −2x1+3x2+2x3=3x_1+2x_2-3x_3=0,\; 4x_1-x_2+x_3=5,\; -2x_1+3x_2+2x_3=3x1​+2x2​−3x3​=0,4x1​−x2​+x3​=5,−2x1​+3x2​+2x3​=3menu_book•(iii)2x1−x2+x3=1,  x1+2x2+2x3=2,  x1−2x2−x3=12x_1-x_2+x_3=1,\; x_1+2x_2+2x_3=2,\; x_1-2x_2-x_3=12x1​−x2​+x3​=1,x1​+2x2​+2x3​=2,x1​−2x2​−x3​=1
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11TH · MATH

Question 3

menu_bookSolutionmenu_bookTheorymenu_book•(i)2x+y−z=1,  x−y+2z=3,  3x+2y+z=42x+y-z=1,\; x-y+2z=3,\; 3x+2y+z=42x+y−z=1,x−y+2z=3,3x+2y+z=4menu_book•(ii)x1+2x2−3x3=0,  4x1−x2+x3=5,  −2x1+3x2+2x3=3x_1+2x_2-3x_3=0,\; 4x_1-x_2+x_3=5,\; -2x_1+3x_2+2x_3=3x1​+2x2​−3x3​=0,4x1​−x2​+x3​=5,−2x1​+3x2​+2x3​=3menu_book•(iii)2x1−x2+x3=1,  x1+2x2+2x3=2,  x1−2x2−x3=12x_1-x_2+x_3=1,\; x_1+2x_2+2x_3=2,\; x_1-2x_2-x_3=12x1​−x2​+x3​=1,x1​+2x2​+2x3​=2,x1​−2x2​−x3​=1
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Accedmychevron_right11thchevron_rightmathchevron_rightMatrices And Determinantschevron_rightExercise 4.3

(i)

x=1,  y=0,  z=1\boxed{x=1,\; y=0,\; z=1}x=1,y=0,z=1​
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