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A = ((2.1,2.5,3.7),(-2.1,5.9,3.8),(0,-2....

`A = ((2.1,2.5,3.7),(-2.1,5.9,3.8),(0,-2.9,-3)),B=((cosalpha,sinalpha,0),(sin alpha,cosalpha,0),(0,0,-1)) ,C=((cos alpha,sinalpha,0),(-sin alpha,cos alpha,0),(0,0,1))` then `sum_(k=0)^(oo)(1)/(3^(k))tr(A(BC)^(k))=`________

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MCGROW HILL PUBLICATION-MATRICES-EXERCISE (Numerical Answer Type Questions)
  1. A = ((2.1,2.5,3.7),(-2.1,5.9,3.8),(0,-2.9,-3)),B=((cosalpha,sinalpha,0...

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  2. Sum of the values of t in C for which the matrix ((1+t,3,2),(2,5,t),(4...

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  3. If the system of linear equations given by x+y+z=3 2x+y-z=3 x+y-...

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  4. Suppose A and B are two 3xx3 matrices then det [(A-A) + (B-B)] =

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  5. If the system of linear equations x+2ky+3z=0 3x+2ky-2z=0 2x+4y ...

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  6. Suppose (alpha,beta,gamma) lie on the plane 2x+y+z=1 and [alpha,beta,g...

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  7. Let A = [(-1,2,0),(3,1,5),(-1,2,-1)] then det ((1)/(10)adj (adj A))=

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  8. Suppose p , q,r in R pqr ne 0. Let A= ((0,2q,r),(p,q,-r),(p,-q,r)) I...

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  9. Suppose a in R and a ne 0 . Let P =[(1,0,0),(a,1,0),(a^(2),a,1)] and...

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  10. Suppose [(1,1),(0,1)][(1,2),(0,1)][(1,3),(0,1)]cdots[(1,n),(0,1)]=[(...

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  11. Let A be a 2xx2 matrix such that det(A^(2)+4I(2))=0 then det(A) + ...

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  12. Suppose a ,b,c gt=0 and ((a+1)(b+1))/((a+2)(b+2))+((b+1)(c+1))/((b+...

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  13. Let A = ((a,b),(c,d)) ,a,b,c,d in R , a+d ne 4 . If A satisfies A^(2)-...

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  14. Suppose sum(n=1)^(oo)(1)/((n+2)sqrt(n)+nsqrt(n+2))=(sqrt(b)+sqrt(c))/(...

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  15. Suppose A = (a(ij))(3xx3) be a symmetric matrix . If S = {a(ij) 1 lt=...

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  16. Let A =((a,b),(c,d)) ,a,b,c,d in R . Suppose there exists x(1),x(2) in...

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  17. Let A be an upper triangular 3xx3 real matrices such that det (A) =0 d...

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  18. Let A and B be two 3xx3 real matrices such that AB = BA and det (A^(2)...

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  19. Let A = ((a,b),(c,d)) ,a,b,c,d in R , a+d ne 7. If n is the number o...

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  20. Let A be a 3xx3 matrix such that (A-2.2I(3))(A-3.8 I(3))=O(3xx3) then ...

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