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Determine the product [[-4, 4, 4], [-7,...

Determine the product `[[-4, 4, 4], [-7, 1, 3],[5, -3, -1]][[1, -1, 1],[1, -2, -2],[2, 1, 3]]` and use it to solve the system of equations `x – y + z = 4, x – 2y – 2z = 9, 2x + y + 3z = 1`

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Use product [[1,-1, 2],[ 0, 2,-3],[ 3,-2, 4]] [[-2, 0, 1],[ 9, 2,-3],[ 6, 1,-2]] to solve the system of equation: x-y+2z=1; 2y-3z=1; 3x-2y+4z=2

If A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)] , find A^(-1) and use it to solve the following system of equation 5x - y + 4z = 5, 2x + 3y +5z = 2, 5x - 2y + 6z =-1

If A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)] , find A^(-1) and use it to solve the following system of equation 5x - y + 4z = 5, 2x + 3y +5z = 2, 5x - 2y + 6z =-1

Determination the product [{:(,1,-1,1),(,1,-2,-2),(,2,1,3):}] [{:(,-4,4,4),(,-7,1,3),(,5,-3,-1):}] and use it to solve the system of equations x-y+z=4, x-2y-2z=9, 2x+y+3z=1

Given A=[[1,-1, 0], [2, 3, 4], [0, 1, 2]], B= [[2,2,-4],[-4,2,-4],[2,-1,5]] find AB and use this to solve the system of equations: y+2x=7,x-y=3,2x+3y+4z=17

Solve the system of equations by cramer's rule: 2x-3y+z=-1 ,3x+y-2z=1 and 4x-y+z=9

If A=[[1,3,4],[2,1,2],[5,1,1]] , find A^(-1) . Hence solve the system of equations : x+3y+4z=8, 2x+y+2z=5 and 5x+y+z=7

If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A^(-1). Use it to solve the system of equations 2x-3y+5z=11 , 3x+2y-4z=-5 and x+y-2z=-3

If A=[{:(1,1,1),(1,0,2),(3,1,1):}] , find A^(-1) . Hence, solve the system of equations : x+y+z=6 , x+2z=7 , 3x+y+z=12

XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. A company produces two types of goods A and B, that require gold and s...

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  2. Find int (dx)/sqrt(3-2x-x^2)

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  3. Determine the product [[-4, 4, 4], [-7, 1, 3],[5, -3, -1]][[1, -1, 1]...

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  4. |(1+x,1,1),(1,1+y,1),(1,1,1+z)|=xy+yz+zx+xyz

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  5. Consider f : R->{-4/3}->R-{4/3} given by f(x) = (4x+3)/(3x+4). Show t...

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  6. The number of irrational roots of the equation (4x)/(x^2+x+3)+(5x)/(...

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  7. Show that the total surface area of a closed cuboid with square bas...

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  8. Using integration, find the area of the triangle ABC, coordinates o...

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  9. Evaluate : int(-1)^2|x^3-x|\ dx

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  10. Show that the differential equation 2y e^(x/y)\ dx+(y-2x e^(x y) ) dy=...

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  11. Find the particular solution of the following differential equation...

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  12. Find the area of a parallelogram ABCD whose side AB and the diagonal A...

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  13. Find the coordinates of the point where the line through the points (...

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  14. 4 कार्ड 1,3,5 और 7 हैं, एक कार्ड पर एक नंबर। दो कार्ड बिना प्रतिस्थापन...

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  15. In a shop X, 30 tins of pure ghee and 40 tins of adulterated ghee whic...

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  16. Let A=R-{3},B=R-{1}, and let f: AvecB be defined by f(x)=(x-2)/(x-3) i...

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  17. A wire of length 36m is to be cut into two pieces. One of the piece...

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  18. Using the method of integration, find the area of the triangle ABC, c...

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  19. Find the equation of the plane through the line of intersection of ...

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  20. If e^y(x+1)=1 , show that (d^2y)/(dx^2)=((dy)/(dx))^2 .

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