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11TH · MATH

Question 5

menu_bookSolutionmenu_bookTheorymenu_book•(i)x1+2x2−2x3=−1,  2x1+3x2+x3=1,  5x1+4x2−3x3=1x_1+2x_2-2x_3=-1,\; 2x_1+3x_2+x_3=1,\; 5x_1+4x_2-3x_3=1x1​+2x2​−2x3​=−1,2x1​+3x2​+x3​=1,5x1​+4x2​−3x3​=1menu_book•(ii)x+2y+z=2,  2x+y+2z=3,  2x+3y−z=7x+2y+z=2,\; 2x+y+2z=3,\; 2x+3y-z=7x+2y+z=2,2x+y+2z=3,2x+3y−z=7menu_book•(iii)x1+4x2+x3=2,  2x1+x2−2x3=9,  3x1+x2−x3=12x_1+4x_2+x_3=2,\; 2x_1+x_2-2x_3=9,\; 3x_1+x_2-x_3=12x1​+4x2​+x3​=2,2x1​+x2​−2x3​=9,3x1​+x2​−x3​=12
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school

11TH · MATH

Question 5

menu_bookSolutionmenu_bookTheorymenu_book•(i)x1+2x2−2x3=−1,  2x1+3x2+x3=1,  5x1+4x2−3x3=1x_1+2x_2-2x_3=-1,\; 2x_1+3x_2+x_3=1,\; 5x_1+4x_2-3x_3=1x1​+2x2​−2x3​=−1,2x1​+3x2​+x3​=1,5x1​+4x2​−3x3​=1menu_book•(ii)x+2y+z=2,  2x+y+2z=3,  2x+3y−z=7x+2y+z=2,\; 2x+y+2z=3,\; 2x+3y-z=7x+2y+z=2,2x+y+2z=3,2x+3y−z=7menu_book•(iii)x1+4x2+x3=2,  2x1+x2−2x3=9,  3x1+x2−x3=12x_1+4x_2+x_3=2,\; 2x_1+x_2-2x_3=9,\; 3x_1+x_2-x_3=12x1​+4x2​+x3​=2,2x1​+x2​−2x3​=9,3x1​+x2​−x3​=12
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Accedmychevron_right11thchevron_rightmathchevron_rightMatrices And Determinantschevron_rightExercise 4.3

(i)

x1=1923,  x2=−923,  x3=1223\boxed{x_1=\frac{19}{23},\; x_2=-\frac{9}{23},\; x_3=\frac{12}{23}}x1​=2319​,x2​=−239​,x3​=2312​​
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