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Given A=((2,-3),(-4,7)) compute A^(-1) a...

Given `A=((2,-3),(-4,7))` compute `A^(-1)` and show that `2A^(-1)=9I-A`

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Given =[2-3-47], compute A^(-1) and show that 2A^(-1)=9I-A

If A=[{:(2,-3),(-4,7):}] , compute A^(-1) and show that 2A^(-1)+A-9I=O .

Given A=[{:(2,-3),(-4,7):}] Assertion (A) : 2A^(-1)=9I-A Reason (R ) : A^(-1)=(1)/(|A|)(adjA)

(i) if A=[{:(4,-1,-4),(3,0,-4),(3,-1,-3):}], then show that A^(2)=I

If A=[[3,1-1,2]], show that A^(2)-5A+7I=0

If A+I={:[(2,2,3),(3,-1,1),(4,2,2)]:} then show that A^(3)-23A-40I=0

if A=[{:(3,1),(-1,2):}], show that A^(2)-5A+7I=0.

If A=[(4,2),(-1,1)] , show that (A-2 I) A-3 I) =0

If A=[4-1-430-43-1-3], show that A^(2)=I_(3)

If A=[(5,2),(-1,2)] and I=[(1,0),(0,1)] show that : (A-3I)(A-4I)=O

XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Find int2x sin (3x + 1) dx

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  2. Find the image of the point having position vector hat i+3 hat j+4 ha...

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  3. Given A=((2,-3),(-4,7)) compute A^(-1) and show that 2A^(-1)=9I-A

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  4. Differentiate tan^(-1)((1+cosx)/sinx) with respect to x

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  5. Find the value of tan^(-1) sqrt3 - cot^(-1) (-sqrt3)

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  6. The total cost C(x) in Rupees, associated with the production of x ...

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  7. Integrate the functions (cos2x+2sin^2x)/(cos^2x)

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  8. Find the differential equation representing the family of curves y=ae^...

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  9. If the matrix A = [[0,a,-3],[2,0,-1],[b,1,0]] is skew symmetric, find ...

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  10. If theta is the angle between two vectors hati-2hatj+3hatk and 3hati-2...

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  11. Find the magnitude of each of the two vectors veca and vec b having th...

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  12. A black and a red dice are rolled. (a)   Find the conditional proba...

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  13. Using properties of determinants prove that |(1,1, 1+3x),(1+3y,1,1),(1...

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  14. Find (dy)/dx, if (x^2+y^2)^2=xy

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  15. If a * b, denoted the larger of 'a' and 'b' and if a o b = a*b + 3 , ...

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  16. If x=a(2theta-sin2theta) and y=a(1-cos2theta) find (dy)/(dx) when thet...

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  17. If y="sin"(sinx),"p r o v et h a t" (d^2y)/(dx^2)+tanx(dy)/(dx)cos^...

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  18. Prove that: 3sin^(-1)x=sin^(-1)(3x-4x^3), x in [-1/2,1/2]

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  19. Find the area of the region in the first quadrant enclosed by the x...

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  20. Find the equations of the tangent and the normal to the curve 16x^2+9y...

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