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Let" "S(k)=( (1 ,k), (0 ,1) ), k in N .T...

`Let" "S_(k)=( (1 ,k), (0 ,1) ), k in N .Then (S_(2))^(n)(S_(x))^(-1) `(where n in N) is``equal to: `(S_(k))^(-1)` denotes the inverse of matrix `S_(k)`

A

`S_(2n +k)`

B

`S_(2n-k)`

C

`S_(2^(n)+k-1)`

D

`S_(2^(n)-k)`

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-MATRICES-EXERCISE ( LEVEL -1) (Single Correct Answer Type Questions)
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  8. If A is a square matrix of order 3 such that A^(2) = 2A then |A|^(2) ...

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  9. If A is a squyare matrix then which one of the following is not a symm...

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  10. If A = (a(ij))(3xx3) where a(ij) = cos (i+j) then

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  11. If A = (a(ij))(3xx) is a matrix satrisfying the equation x^(3) -3x+1 =...

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  12. Let A and B be square matrices of the same order. Does (A+B)^2=A^2+...

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  15. A =[(1,2,3),(1,2,3),(-1,-2,-3)] then A is a nilpotent matrix of index

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  16. If A is a 2xx2 unitary matrix then |A| is equal to

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  17. If A= (1)/(2) ((-1,-sqrt(3)),(sqrt(3),-1)) then A^(-1)- A^(2) is equal...

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  18. If C is a 3xx3 matrix satisfying the relation C^(2)+C=I then C^(-2) is...

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  19. If A , B and C are three square matrices of the same size such that B ...

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  20. If X is a 2 xx 3 matrix such that |X' X|!=0 and A = I2 - X(X' X)^(-1) ...

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