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Suppose a, b, c, in R and abc = 1, if A...

Suppose `a, b, c, in R ` and `abc = 1, if A = [[3a, b, c ],[b, 3c, a ],[c, a, 3b]]` is such that `A ^(T) A = 4 ^(1//3) I and abs(A) gt 0, ` the value of `a^(3) + b^(3) + c^(3)` is

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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -LEVEL 2
  1. Let M and N be two 3xx3 matrices such that MN=NM. Further, if M ne N^(...

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  2. about to only mathematics

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  3. Suppose a, b, c, in R and abc = 1, if A = [[3a, b, c ],[b, 3c, a ],[c...

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  4. A=[[0 ,1],[ 3 ,0]]a n d(A^8+A^6+A^4+A^2+I) V=[[0] ,[11]](w h e r eIi s...

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  5. If [(a,b),(c,1-a)] is an idempotent matrix and f(x)=x-x^(2) and bc=1//...

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  6. Let x be the solution set of equation A^x=Idot,w h e r eA+[0 1-1 4-3 4...

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  7. A=[(1,tan x),(-tan x,1)] and f(x) is defined as f(x)= det. (A^(T)A^(-1...

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  8. If A is an idempotent matrix satisfying, (I-0. 4 A)^(-1)=I-alphaA ,w h...

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

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  10. Let A=[a("ij")](3xx3) be a matrix such that A A^(T)=4I and a("ij")+2c(...

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  11. Let S be the set which contains all possible values of l, m, n, p, q, ...

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  12. Let alpha,beta,gamma are the real roots of the equation x^3+a x^2+b x+...

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  13. If a1, a2, a3,54,a6,a7, a8, a9 are in H.P., and D=|[a1,a2,a3],[5, 4,a6...

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  14. about to only mathematics

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  15. The sum of roots of the equations |{:(x+2,,2x+3,,3x+4),(2x+3,,3...

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  16. If alpha,beta,gamma are real numbers, then without expanding at any...

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  17. Prove that |(a-x)^2(a-y)^2(a-z)^2(b-x)^2(b-y)^2(b-z)^2(c-x)^2(c-y)^2(...

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  18. Express =|2b c-a^2c^2b^2c^2 2c a-b^2a^2b 62a^2 2a b-c^2| as square of ...

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  19. Prove without expansion that |a h+bgga b+c h bf+b afh b+b c af+b cc bg...

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  20. If y= |[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1,1]|, find (dy)/(dx)

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