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Let x=|[x1],[x2],[x3]|,A=|[1,-1, 2], [2,...

Let `x=|[x_1],[x_2],[x_3]|,A=|[1,-1, 2], [2,0,1], [3,2,1]| a n d B=|[3], [2],[1]| dotIfA X=B ,` Then `X` is equal to

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Let x=|(x1),(x2),(x3)|,A=|(1,-1, 2),( 2, 0, 1),( 3, 2, 1)|a n d B=[(3),( 2),( 1)]dotIfA X=B , Then X is equal to

Let A=[(1, 2), (3,-5)] and B=[(1, 0), (0, 2)] and X be a matrix such that A=B X , then X is equal to (a) 1/2[(2, 4), (3, -5)] (b) 1/2[(-2, 4), (3, 5)] (c) [(2, 4), (3,-5)] (d) none of these

Let A is 3 xx 3 matrix such that Ax_1=B_1,Ax_2=B_2,Ax_3=B_3 where x_1=[[1],[1],[1]],x_2=[[0],[2],[1]],x_3=[[0],[0],[1]] ,br> B_1=[[1],[0],[0]],B_2=[[0],[2],[0]],B_3=[[0],[0],[2]] then find |A| .

If f(x)=|(1, x, x+1), (2x, x(x-1), (x+1)x), (3x(x-1), x(x-1)(x-2), (x+1)x(x-1))| then f(5000) is equal to 0 b. 1 c. 500 d. -500

The total number of distinct x in R for which |[x, x^2, 1+x^3] , [2x,4x^2,1+8x^3] , [3x, 9x^2,1+27x^3]|=10 is (A) 0 (B) 1 (C) 2 (D) 3

Let f (x ) = | 3 - | 2- | x- 1 |||, AA x in R be not differentiable at x _ 1 , x _ 2 , x _ 3, ….x_ n , then sum _ (i= 1 ) ^( n ) x _ i^2 equal to :

lim_(x->0^-)([x]+[x^2]+[x^3]++[x^(2n+1)]+n+1)/(1+[x^2]+|x|+2x), n in N is equal to

Let f(x)=x^3-3(a-2)x^2+3ax+7 and f(x) is increasing in (0,1] and decreasing is [1,5) , then roots of the equation (f(x)-14)/((x-1)^2)=0 is (A) 1 (B) 3 (C) 7 (D) -2

Let f(x)=x^3-3(a-2)x^2+3ax+7 and f(x) is increasing in (0,1] and decreasing is [1,5) , then roots of the equation (f(x)-14)/((x-1)^2)=0 is (A) 1 (B) 3 (C) 7 (D) -2

If f(x)=|\(1,x,x+1),(2x,x(x-1),(x+1)x,3x(x-1),x(x-1)(x-2),(x+1)x(x-1))| then f(100) is equal to (A) 0 (B) 1 (C) 100 (D) -100

RD SHARMA ENGLISH-SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS-All Questions
  1. Solve the following system of homogeneous linear equations by matri...

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  2. Solve the following system of homogeneous equations: x+y+z=0 x-2y+z=0...

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  3. Solve the following system of homogeneous linear equations by matri...

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  4. Solve the following system of homogeneous equations: 2x+3y-z=0 x-y-2z...

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  5. If [(1 ,0, 0) ,(0 ,1, 0),( 0 ,0 ,1)][(x),( y),( z)]=[(1),(-1),( 0)] , ...

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  6. If [(1,0,0 ), (0,-1,0), (0,0, -1)][(x),(y),( z)]=[(1),(0),(1)] , find ...

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  7. If [(1, 0 ,0 ),(0,y,0),( 0, 0, 1)][(x),(-1),(z)]=[(1),( 0),( 1)] , fin...

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  8. Solve [(3 ,-4),( 9 , 2)][(x) ,( y)]=[(10),( 2)] for x\ a n d\ y .

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  9. If [(1,0,0),(0, 0, 1),(0,1,0)][(x),(y),(z)]=[(2),(-1),(3)] , find x ,\...

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  10. If A=[[2, 4 ],[4 ,3]],X=[[n],[1]] , B=[[8], [11]] and A X=B , then fin...

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  11. The system of equation x+y+z=2 , 3x-y+2z=6 and 3x+y+z=-18 has (a) a un...

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  12. The number of solutions of the system of equations: 2x+y-z=7 x-3y+2z=...

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  13. Let x=|[x1],[x2],[x3]|,A=|[1,-1, 2], [2,0,1], [3,2,1]| a n d B=|[3], [...

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  14. The number of solutions of the system of equations: 2x+y-z=7 x-3y+2z=...

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  15. The system of linear equations x+y+z=2,2x+y-z=3, 3x+2y+kz=4 has a uniq...

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  16. |(a1,b1,c1),(a2,b2,c2),(a3,b3,c3)|=0 then the system of equations a1x+...

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  17. Let a ,b , c be real numbers. The following system of equations in x ,...

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  18. For the system of equations: x+2y+3z=1 2x+y+3z=2 5x+5y+9z=4

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  19. The existence of the unique solution of the system x + y + z = lambda,...

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  20. The system of equations: x+y+z=5, x+2y+3z=9 and x+3y+lambdaz=mu has ...

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