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se A is a matrix such that `A^2 =A and (I + A)^6 =1+ KA`, then k is

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RESONANCE-MATRICES & DETERMINANT-PART-II
  1. Let A=[(0,1),(2,0)] and (A^(8)+A^(6)+A^(2)+I)V=[(32),(62)] where V i...

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  2. Let A=[{:(,3x^(2)),(,1),(,6x):}], B=[a,b,c] and C=[{:(,(x+2)^(2),5x^(2...

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  3. Let A be an involutary matrix and S be the set containing solution of ...

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  4. If A is a diagonal matrix of order 3xx3 is commutative with every squa...

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  5. A is a (3xx3) diagonal matrix having integral entries such that det (A...

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  6. If |{:(,b+c,c+a,a+b),(,c+a,a+b,b+c),(,a+b,b+c,c+a):}|ge 0, "where a ,b...

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  7. If a1, a2, a3,54,a6,a7, a8, a9 are in H.P., and D=|a1a2a3 5 4a6a7a8a9|...

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  8. If |{:(,a+b+2c,a,b),(,c,b+c+2a,b),(,c,a,c+a+2b):}|=k(alphaa+betab+gamm...

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  9. If A is a square matrix of order 3 and A' denotes transpose of matrix ...

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  10. se A is a matrix such that A^2 =A and (I + A)^6 =1+ KA, then k is

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  11. |[-bc, b^2+bc, c^2 +bc],[a^2+ac,-ac,c^2+ac],[a^2+ab,b^2+ab,-ab]|=64. t...

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  12. If f(x)=|{:(,1+sin^(2)x,cos^(2)x,4sin2x),(,sin^(2)x,1+cos^(2)x,4sin2x)...

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  13. If Un=|(n,1,5),(n^2, 2N+1,2N+1),(n^3,3N^2,3N+1)|, then sum(n=1)^NUn is...

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  14. The value of a for which system of equation , a^3x+(a+1)^3y+(a+2)^3z=0...

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  15. Consider the system linear equations in x ,y ,a n dz given by (s in3th...

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  16. The value of k for which the set of equations 3x+ky-2z=0, x + ky + 3z ...

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  17. A(1)=[a(1)] A(2)=[{:(,a(2),a(3)),(,a(4),a(5)):}] A(3)=[{:(,a(6),a(...

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  18. If {1/2(A-A'+1)}^-1=2/lambda[(lambda-13,-lambda/3,lambda/3),(-17,10,-...

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  19. Given A=[[2,0,-alpha],[5,alpha,0],[0,alpha,3]] For a in R-{a, b}, A^(-...

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  20. Let a ,b , c be the real numbers. The following system of equations in...

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