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If A=([2,-1],[1,3]) then show that A^2-5...

If `A=([2,-1],[1,3])` then show that `A^2-5A+7I_2=0` hence find `A^(-1)`

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If A= {:[( 3,1),( -1,2) ]:} Show that A^(2) -5A +7I =O.Hence find A^(-1)

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

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

A = [[3,-5],[-4,2]] , verify that A^2 -5A-14I=0, hence find A^(-1)

If A = ([1,4],[2,3]) then show that A^2-4A-5I = theta and using this find A^(-1) . Where I= ([1,0],[0,1]) and theta = ([0,0],[0,0]) .

If A = ((3,1),(-1,2)), I = ((1,0),(0,1)) and O = ((0,0),(0,0)) show that, A^(2) - 5A + 7I = O . Hence find A^(-1) .

A={:[( 1,1,1),(1,2,-3),(2,-1,3)]:} Show that A^(3) - 6A^(2) +5A +11 I =O. Hence , find A^(-1)

If A=[[-1, 1],[ 0,-2]] , then prove that A^2+3A+2I=Odot Hence, find Ba n dC matrices of order 2 with integer elements, if A=B^3+C^3dot

Show that the matrix A=[[1,2,2],[2,1,2],[2,2,1]] satisfies the equation A^2-4A-5I_3=O and hence find A^(-1)

If A=({:(1,4),(2,3):}) , then show that A^(2)-4A-5I=0 ,where I=({:(1,0),(0,1):}) " and " O=({:(0,0),(0,0):}) .

UNITED BOOK HOUSE-QUESTION PAPER 2017-EXERCISE
  1. If P(A)=2/3,P(B)=1/2 and P(AnnB)=1/6 then find the value of P(AnnB^C).

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  2. Solve: tan^(-1)(x+1)+tan^(-1)(x-1)=tan^(-1)(8/31).

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  3. If A=([2,-1],[1,3]) then show that A^2-5A+7I2=0 hence find A^(-1)

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  4. Solve by Cramer's rule: x+3y= 4,y+3z = 7, 4x+z= 6.

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  5. Prove that |[2ab,a^2,b^2],[a^2,b^2,2ab],[b^2,2ab,a^2]|=-(a^3+b^3)^2.

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  6. If f(x)= ((a+x)/(b+x))^(a+b+2x) then prove that f'(0)= [2log(a/b)+(b...

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  7. Evaluate: int (xdx)/(x^4-x^2+1)

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  8. Solve: ydx-(x+2y^2)dy=0.

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  9. In a certain culture the rate of increment of bacterial at any instant...

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  10. The position vectors of four points A,B,C and D are 4hati+8 hat j+12ha...

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  11. If a vector 2 i ^ +3 j ^ ​ +8 k ^ is perpendicular to the vecto...

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  12. Evaluate: overset(pi/4)underset(0)intlog(1+tan theta)d theta.

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  13. find the value of overset(2)underset(1)int 5x^2dx.

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  14. A man is known to speak the truth 3 out of 4 times. HE throws an unbia...

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  15. If the sum of the mean and variance of a binomial distribution for 5 r...

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  16. Solve the following linear programming problem by graphical method and...

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  17. Using calculus, show that the maximum value of the function (1/x)^x is...

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  18. Using integration, prove that the area of the closed region bounded by...

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  19. Solve: xdy-ydx= sqrt(x^2+y^2)dx.

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  20. Find the shortest distance between the straight lines vecr = -4hati+...

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