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If A=[[0, -tan (alpha/2)], [ tan (alpha...

If `A=[[0, -tan (alpha/2)], [ tan (alpha/2), 0]]` and `I` is the identity matrix of order 2 , show that `I+A=(I-A)[[cos alpha, -sin alpha],[ sin alpha, cos alpha]]`

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BODY BOOKS PUBLICATION-MATRICES-EXERCISE
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  2. Let A=[(0,-tanx//2),(tanx//2,0)] Find out I+A and I-A.

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  3. If A=[[0, -tan (alpha/2)], [ tan (alpha/2), 0]] and I is the identi...

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  4. A is a third order square matrix and a(ij)={(-i,+,2j,if,i,=,j),(i,x...

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  5. A is a third order square matrix and a(ij)={(-i,+,2j,if,i,=,j),(i,x...

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  6. Let A is a third order square matrix given by a(ij)={(-i+2j, i=j),(ixx...

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  7. A is a third order square matrix and a(ij)={(-i,+,2j,if,i,=,j),(i,x...

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  8. If [(2,-1),(1,0),(-3,4)] A=[(-1,-8,-10),(1,-2,-5),(9,22,15)] Find the ...

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  9. If [(2,-1),(1,0),(-3,4)] A=[(-1,-8,-10),(1,-2,-5),(9,22,15)] Find the ...

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  10. Find the inverse of matrices [(1,-1),(2,3)]

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  11. sin^(-1)(1-x)-2sin^(-1)x= pi/2,then find x

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  12. Find the matrix X so that X[[1 , 2, 3],[ 4, 5, 6]]=[[-7, -8, -9]...

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  13. If [[x-y-z],[-y+z],[z]] = [[0],[5],[3]], then the values of x, y and z...

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  14. If B=[(2,3),(1,0)] find B^2

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  15. If A=[(x,1),(1,0)] ifA^2 is the identity matrix, then find x.

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  16. If U=[2 -3 4],V=[(3),(2),(1)] X=[0 2 3],Y=[(2),(2),(4)] then find UV,X...

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  17. What must be the matrix X if 2X+[(1,2),(3,4)]=[(3,8),(7,2)]

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  18. If [1" "x" "1] [(1,2,3),(0,5,1),(0,3,2)][(x),(1),(-2)]=0 then find the...

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  19. If A=[a(ij)](2xx2) where a(ij)=i+j, then A is equal to a)[(1,1),(2,2)]...

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  20. [(2,3),(3,4)] is a a)Symmetric matrix b)Skew-symmetric matrix c)null m...

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