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

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

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BODY BOOKS PUBLICATION-MATRICES-EXERCISE
  1. If [[x-y-z],[-y+z],[z]] = [[0],[5],[3]], then the values of x, y and z...

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

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

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

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

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

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  8. [(2,3),(3,4)] is a a)Symmetric matrix b)Skew-symmetric matrix c)null m...

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  9. If A=[(3,-2),(2,5)] and B=[(7,8),(-6,3)] then A+B is equal to-

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  10. If A=[(10,6),(-4,8)] and I2=[(1,0),(0,1)] then AI2 is equal to a)[(10...

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  11. If A is square matrix, A', is its transpose, then 1/2(A-A') is a)a S...

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  12. Let A and B be two symmetric matrices of same order. Then show that AB...

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  13. A=[[1,2,2],[2,1,2],[2,2,1]] , then Find 4A and A^2

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  14. A=[[1,2,2],[2,1,2],[2,2,1]] , then show that A^2-4A=5I3

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  15. If A=[(cos^2alpha,cosalphasinalpha),(cosalphasinalpha,sin^2alpha)] and...

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  16. Let A=[(0,a),(b,0)] Find A^2

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  17. Let A=[(0,a),(b,0)] If A^4=I2 then show that ab=1.

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  18. Of the matrices A=[(2,1,3),(4,1,0)] and B=[(1,-1),(0,2),(5,0)] Find AB...

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  19. Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Show that (AB)^T=...

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  20. If a matrix has 5 elements, write all possible order it can have.

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