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11TH · MATH

Question 6

menu_bookSolutionmenu_bookTheorymenu_book•(i)x+4y−2z=0,  2x+y+5z=0,  5x+2y+8z=0x+4y-2z=0,\; 2x+y+5z=0,\; 5x+2y+8z=0x+4y−2z=0,2x+y+5z=0,5x+2y+8z=0menu_book•(ii)x1+4x2+2x3=0,  2x1+x2−3x3=0,  3x1+2x2−4x3=0x_1+4x_2+2x_3=0,\; 2x_1+x_2-3x_3=0,\; 3x_1+2x_2-4x_3=0x1​+4x2​+2x3​=0,2x1​+x2​−3x3​=0,3x1​+2x2​−4x3​=0menu_book•(iii)x1+2x2−x3=0,  x1−x2+5x3=0,  2x1+x2+4x3=0x_1+2x_2-x_3=0,\; x_1-x_2+5x_3=0,\; 2x_1+x_2+4x_3=0x1​+2x2​−x3​=0,x1​−x2​+5x3​=0,2x1​+x2​+4x3​=0
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11TH · MATH

Question 6

menu_bookSolutionmenu_bookTheorymenu_book•(i)x+4y−2z=0,  2x+y+5z=0,  5x+2y+8z=0x+4y-2z=0,\; 2x+y+5z=0,\; 5x+2y+8z=0x+4y−2z=0,2x+y+5z=0,5x+2y+8z=0menu_book•(ii)x1+4x2+2x3=0,  2x1+x2−3x3=0,  3x1+2x2−4x3=0x_1+4x_2+2x_3=0,\; 2x_1+x_2-3x_3=0,\; 3x_1+2x_2-4x_3=0x1​+4x2​+2x3​=0,2x1​+x2​−3x3​=0,3x1​+2x2​−4x3​=0menu_book•(iii)x1+2x2−x3=0,  x1−x2+5x3=0,  2x1+x2+4x3=0x_1+2x_2-x_3=0,\; x_1-x_2+5x_3=0,\; 2x_1+x_2+4x_3=0x1​+2x2​−x3​=0,x1​−x2​+5x3​=0,2x1​+x2​+4x3​=0
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Accedmychevron_right11thchevron_rightmathchevron_rightMatrices And Determinantschevron_rightExercise 4.3

(iii)

(x1,x2,x3)=t(−3,2,1)\boxed{(x_1,x_2,x_3)=t(-3,2,1)}(x1​,x2​,x3​)=t(−3,2,1)​
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