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If A=[[costheta,sintheta],[-sintheta,cos...

If `A=[[costheta,sintheta],[-sintheta,costheta]]` then prove that
`A^2=[[cos2theta,sin2theta],[-sin2theta,cos2theta]]`

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MAXIMUM PUBLICATION-MATRICES-EXAMPLE
  1. Consider the matrices A=[[2,-6],[1,2]] and A+3B=[[5,-3],[-2,-1]] F...

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  2. Consider the matrices A=[[2,-6],[1,2]] and A+3B=[[5,-3],[-2,-1]] F...

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  3. Consider the matrices A=[[2,-6],[1,2]] and A+3B=[[5,-3],[-2,-1]] F...

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  4. The value of k such that matrix [[1,k],[-k,1]] is symmetric if

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  5. If A=[[costheta,sintheta],[-sintheta,costheta]] then prove that A^2...

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  6. If A=[[1,3],[4,1]] , then find abs(3A^T)

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  7. Let A be a matrix of order 3xx3 whose elements are given by a(ij)=2i-j...

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  8. Let A be a matrix of order 3xx3 whose elements are given by a(ij)=2i-j...

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  9. Consider a 2xx2 matrix A=[a(ij)] with a(ij)=2^i+j Construct A.

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  10. Consider a 2xx2 matrix A=[a(ij)] with a(ij)=2^i+j Find A+A^T , A-A...

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  11. Consider a 2xx2 matrix A=[a(ij)] with a(ij)=2^i+j Express A as sum...

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  12. A=[[0,1],[0,0]] , B=[[0,1],[0,0]] , then BA=……………

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  13. Write A=[[3,5],[1,-1]] as the sum of a symmetric and a skew symmetric ...

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  14. Find the inverse of A=[[2,-6],[1,-2]]

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  15. If the matrix A is both symmetric and skew-symmetric , then A is a

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  16. If A=[[1,3],[-2,4]] , then show that , A^2-5A+10I=0

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  17. If A=[[1,3],[-2,4]] Hence find A^(-1)

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  18. The number of all possible 2xx2 matrices with entries 0 or 1 is

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  19. If the area of a triangle whose vertices are (k,0), (5,0), (0,1) is 10...

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  20. Using elementary transformation find the inverse of the matrix [[2,1]...

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