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Let X = [(3,2,5),(4,1,3),(0,6,-7):}] exp...

Let X = `[(3,2,5),(4,1,3),(0,6,-7):}]` express X as sum of two matrics such that one is symmetric and other is skew-symmetric.

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Let A=[{:(3,2,5),(4,1,3),(0,6,7):}] . Express A as sum of two matrices such that one is symmetric and the other is skew-symmetric.

Express the marix A=|{:(3,2,3),(4,5,3),(2,4,5):}| as the sum of a symmetric matrix and a skew-symmetric matrix.

Express the matrix B=[(2,-2,-4),(-1,3,4),(1,-2,-3)] as the sum of a symmetric and a skew symmetric matrix.

Express the following matrices as the sum of a symmetric and a skew symmetric matrix: [(1,5),(-1,2)]

Express the matrix A=[{:(-3,4,1),(2,3,0),(1,4,5):}] as the sum of symmetric matrix and a skew-symmetric matrix.

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Express the matrix A={:[(-3,4,1),(2,3,0),(1,4,5)] as the sum of a symmetric and a skew. Symmetric matrix.

Express the matric A= [[-3,4,1],[2,3,0],[1,4,5]] as the sum of a symmetric matrix and a skex symmetric matrix.

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UNITED BOOK HOUSE-MISCELLANEOUS EXERCISE-EXERCISE
  1. By using properties of determinats. Prove that- |(1,1+x,1+x+y),(2,3+...

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  2. By using properties of determinats. Prove that- |(sintheta,costheta,...

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  3. Let X = [(3,2,5),(4,1,3),(0,6,-7):}] express X as sum of two matrics s...

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  4. If [(2,-1),(1,0),(-3,4):}]xxP= [(-1,-8,-10),(1,-2,-5),(9,22,15):}], fi...

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  5. Prove that: underset(xrarrinfty)lim sqrtx (sqrt(x+3) - sqrtx)= 3/2

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  6. Prove that:underset(x rarr0)lim ((x-1+cosx)/(x))^(1/x) = e^(-1/2)

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  7. Prove that: underset(xrarrinfty)lim ((x+5)/(x+1))^x = e^4

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  8. Prove that: underset(xrarrpi/2)lim (1+cosx)^(3secx) = e^3

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  9. Prove that: underset(xrarr0)lim ([1+3x]^((x+3)/x))= e^9

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  10. Evaluate the following limits: underset(x rarr0)lim(xe^x - log(x+1))/(...

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  11. Evaluate the following limits: underset(x rarr0)lim[tan(pi/4+x)]^(1/x)

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  12. Evaluate the following limits: underset(x rarr0)lim(sinx + cos x)^(1/x...

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  13. Evaluate the following limits: underset(x rarr0)limsinlog(1+x)/log(sin...

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  14. It g(x) is the inverse of f(x) and f(X) = (1+x^3)^-1, show that g'(x) ...

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  15. Find the differential coefficients of the folloiwng functions: x^x

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  16. Find form 1st principle the differential coefficients of the folloiwng...

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  17. Find form 1st principle the differential coefficients of the folloiwng...

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  18. Find dy/dx when x^(siny) + y ^(sinx) = 1

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  19. Find dy/dx when x^(logx) + (sinx)^x + 15 x

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  20. Find (d^2y)/(dx^2) when x= e^-t and y = te^-1

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