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

If `A=[(2,-3),(3,5)]` then find `A^(-1)` by adjoint method.

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To find the inverse of the matrix \( A = \begin{pmatrix} 2 & -3 \\ 3 & 5 \end{pmatrix} \) using the adjoint method, we will follow these steps: ### Step 1: Calculate the Determinant of \( A \) The determinant of a \( 2 \times 2 \) matrix \( A = \begin{pmatrix} a & b \\ c & d \end{pmatrix} \) is given by: \[ \text{det}(A) = ad - bc ...
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GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS- JULY 2016-Section-II
  1. If A=[(2,-3),(3,5)] then find A^(-1) by adjoint method.

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  2. Select and write the correct answer from the given alternatives in ea...

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  3. Select and write the correct answer from the given alternatives in ea...

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  4. Thep.d.f of a continous random variable X is f(x) = (x^(2))/(3...

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  5. sec sqrt(x)

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  6. Evaluate : int (x+1)/((x+2)(x+3))*dx

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  7. Find the area of the region lying in the first quadrant bounded by th...

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  8. Solve the differential equation : sec^(2)x tan y dx + sec^(2) y tan...

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  9. Given X~B(n,p) if E(X) = 6, Var (X) = 4.2 , find the value of n and p...

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  10. If the function f(x)=((4^(sin x)-1)^(2))/(x*log(1+2x)), for x!=0 is c...

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  11. Evaluate : int 1/(3+2 sin x + cos x) dx.

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  12. If y=f(x) is a differentiable function x such that invrse function x=f...

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  13. A point source of light is hung 30 feet directly above a straight hori...

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  14. The p.m.f. for X = number of major defects in a randomly selected appl...

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  15. Prove that : int(0)^(a) f(x) dx = int(0)^(a) f(a-x)dx hence evaluate...

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  16. If y=e^(tan x)+(log x)^(tan x) then find (dy)/(dx)

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  17. If the probability that a fulurorescent light has a useful life of a l...

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  18. Find alpha and beta, so the function f (x) defined by f(x) =-2 sin x...

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  19. Find the equation of a curve passing through the point (0, 2) given...

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  20. If u and v are two functions of x then prove that : int uv dx = u ...

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  21. Find the approximate value of log10(1016) given log10 e =0.4343

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