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If X=[(3,-4),(1,-1)] the value of X^(n) ...

If `X=[(3,-4),(1,-1)]` the value of` X^(n)` is

A

`{:[(,3n,-4),(,n,-n)]:}`

B

`{:[(,2n+n,5-n),(,n,-n)]:}`

C

`{:[(,3^(n),(-4)^(n)),(,1^(n),(-1)^(n))]:}`

D

`{:[(,2n+1,-4),(,n,-(2n-1))]:}`

Text Solution

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The correct Answer is:
D
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RESONANCE ENGLISH-MATRICES & DETERMINANT-EXERCISE-2
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  3. If X=[(3,-4),(1,-1)] the value of X^(n) is

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  4. about to only mathematics

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  5. The number of nxxn matrix A and B such that AB - BA = I is. . .

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  8. If A is a skew-symmetric matrix and n is an even natural number,...

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  9. Matrix A such that A^(2)=2A-I, where I is the identity matrix, then fo...

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  10. about to only mathematics

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  11. " If "|{:(sin 0 cos phi,,sin 0 sin phi,,cos 0),(cos 0 cos phi,, cos 0 ...

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  12. Prove that |{:(1+a^(2)+a^(4),,1+ab+a^(2)b^(2),,1+ac+a^(2)c^(2)),(1+ab+...

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  15. If Delta1=|[2a,b,e],[2d,e,f],[4x,2y,2z]|,Delta2=|[f,2d,e],[2z,4x,2y],[...

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  16. From the matrix equation AB=AC, we conclude B=C provided.

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  17. Let A=|{:(,-2,7,sqrt3),(,0,0,-2),(,0,2,0):}| and A^(4)=lambda,I,"then"...

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  18. If A is 3 xx 3 square matrix whose characteristics polynomical equatio...

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