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If A=|(1,2,2),(2,1,2),(2,2,1)|, verifty...

If `A=|(1,2,2),(2,1,2),(2,2,1)|,` verifty that `A^2-4A-5I-5I=0`

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If A=[{:(1,2,2),(2,1,2),(2,2,1):}] , prove that A^(2)-4A-5I=O and hence, obtain A^(-1) .

If A=|{:(1,2,2),(2,1,2),(2,2,1):}| , then show that A^(2)-4A-5I_(3)=0 . Hemce find A^(-1) .

If A=[[1,2,22,1,22,2,1]], then prove that A^(2)-4A-5I,=O

If A=[(1,2,2),(2,1,2),(2,2,1)] then (A) A^-1= 1/5(A-4I_3) (B) A^2-4A-5I_3=0 (C) A^2 is invertible (D) A^3 is non invertible

If A=[122212221], find A^(-1) and prove that A^(2)-4A-5I=O

if A=[[1,2,22,1,22,2,1]] then find the value of A^(2)-4A+5I_(3) then find the value of

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

If A=[(2,-1,1),(-1,2,-1),(1,-1,2)] show that A^(2)-5A+4I=0 Hence find A^(-1)

If A=[[1,2,2], [2,1,2],[2,2,1]] then A^(2)-5I=

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find a unit vector in the direction of vec a=3 hat i-2 hat j+6 hat...

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  2. Find the angle between the vectors vec a= hat i- hat j+\ hat k\ a...

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  3. If A=|(1,2,2),(2,1,2),(2,2,1)|, verifty that A^2-4A-5I-5I=0

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  4. A pair of dice is thrown 4 times. If getting a doublet is considere...

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  5. Using properties of determinants, prove the following |(alpha,beta,ga...

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  6. If "f"("x")=x+7 and g(x)=x-7,\ x\ \ R , find (fog)(7)

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  7. Evaluate : sin[pi/3-sin^(-1) (-1/2)]

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  8. Find the value of x and y If : 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1...

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  9. Evaluate |(a+ib,c+id),(-c+id,a-ib)|

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  10. Find the cofactor of a12 in the following |(2,-3,5),(6,0,4),(1,5,-7)|

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  11. Evaluate int(x^2)/(1+x^3)dx" "

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  12. Evaluate : int0^1(dx)/(1+x^2)

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  13. A factory owner purchases two types of machines, A and B for his fa...

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  14. An insurance company insured 2000 scooter drivers, 4000 car drivers...

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  15. Evaluate: int(-a)^a\ sqrt((a-x)/(a+x))\ dx\ \

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  16. Find the equation of the plane passing through the point (3,4,1) an...

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  17. Find the equation of the plane passing through the point (-1,-1,2) ...

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  18. Find the shortest distance between the following lines: (x-3)/1=(y-5)/...

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  19. Find the point on the line (x+2)/3=(y+1\ )/2=(z-3\ )/2 at a distanc...

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  20. Evaluate : intsec^2(7-4x)dx

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