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If f(x)=[[cosx,sinx,cosx],[cos2x,sin2x,2...

If `f(x)=[[cosx,sinx,cosx],[cos2x,sin2x,2cos2x],[cos3x,sin3x,3cos3x]]`
find `f'(pi/2).

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MBD PUBLICATION-DETERMINATES-QUESTION BANK
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  2. If A is a 3xx3 matrix and absA=2, then which matrix is represented by ...

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  3. If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...

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  4. Prove the following: [[a^2+1,ab,ac],[ab,b^2+1,bc],[ac,bc,c^2+1]] =1+...

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  5. Prove the following: [[1,1,1],[a,b,c],[a^3,b^3,c^3]] =(b-c)(c-a)(a...

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  6. Prove the following: [[a,b,c],[b,c,a],[c,a,b]]=3abc-a^3-b^3-c^3

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  10. Prove the following: [[b+c,a+b,a],[c+a,b+c,b],[a+b,c+a,c]] =a^3+b^...

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  11. Prove the following: [[a+b+c,-c,-b],[-c,a+b+c,-a],[-b,-a,a+b+c]] =...

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  13. If 2s=a+b+c show that [[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[...

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  14. If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0 then prove that xyz...

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  15. Without expanding show that the following determinant is equal to Ax+B...

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  16. If x,y,z are positive and are the pth, qth and rth terms of a G.P. the...

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  17. If a1, a2,........,an are in G.P. and ai gt 0 for every i, then find t...

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  18. If f(x)=[[1+sin^2x,cos^2x,4sin2x],[sin^2x,1+cos^2x,4sin2x],[sin^2x,cos...

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  19. If fr(x),gr(x),hr(x),r=1, 2, 3 are polynomials in x such that fr(a)=...

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  20. If f(x)=[[cosx,sinx,cosx],[cos2x,sin2x,2cos2x],[cos3x,sin3x,3cos3x]] ...

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