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If A=[{:(0,1),(1,1):}]andB=[{:(0,-1),(1,...

If `A=[{:(0,1),(1,1):}]andB=[{:(0,-1),(1,0):}]` show that `(A+B)*(A-B)neA^(2)-B^(2)`.

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The correct Answer is:
`=[{:(2,1),(1,3):}]`
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KUMAR PRAKASHAN-MATRICES -Solutions of NCERT Exemplar Problems (Short Answer Type Questions)
  1. If X=[{:(3,1,-1),(5,-2,-3):}]andY=[{:(2,1,-1),(7,2,4):}], find (i) X...

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  2. Find non - zero values of x satisfying the matrix equation : x*[{:(...

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  3. If A=[{:(0,1),(1,1):}]andB=[{:(0,-1),(1,0):}] show that (A+B)*(A-B)ne...

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  4. Find x, if [1" "x" "1][{:(1,3,2),(2,5,1),(15,3,2):}][{:(1),(2),(x):}]=...

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  5. Show that A=[{:(5,3),(-1,-2):}] satisfies the equation A^(2)=3A-7I=0 ...

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  6. Find the matrix A satisfying the matrix equation : [{:(2,1),(3,2):}]...

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  7. Find A , if [{:(4),(1),(3):}]A=[{:(-4,8,4),(-1,2,1),(-3,6,3):}]

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  8. If A=[{:(3,-4),(1,1),(2,0):}]andB=[{:(2,1,2),(1,2,4):}],then verify (B...

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  9. If possible , find BA and AB , where A=[{:(2,1,2),(1,2,4):}],B=[{:...

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  10. Show by an example that for AneO,BneO,AB=O.

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  11. Given A=[{:(2,4,0),(3,9,6):}]andB=[{:(1,4),(2,8),(1,3):}]. Is (AB)'=B'...

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  12. Solve for x and y : x[{:(2),(1):}]+y[{:(3),(5):}]+[{:(-8),(-11):}]=...

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  13. If X and Y are 2xx2 matrices , then solve the following matrix equati...

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  14. If A=[3" " 5],B=[7" " 3] , then find a non - zero matrix C such tha...

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  15. Give an example of matrices A,B and C such that AB=AC, where A is nonz...

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  16. If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}]andC=[{:(1,0),(-1,0):}] ve...

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  17. If P=[{:(x,0,0),(0,y,0),(0,0,z):}]andQ=[{:(a,0,0),(0,b,0),(0,0,c):}], ...

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  18. If [[2" "1" "3][{:(-1,0,-1),(-1,1,0),(0,0,1):}]*[{:(1),(0),(-1):}]=A f...

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  19. If A=[2" "1],B=[{:(5,3,4),(8,7,6):}]andC=[{:(-1,2,1),(1,0,2):}], veri...

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  20. If A=[{:(1,0,-1),(2,1,3),(0,1,1):}] , then verify that A^(2)+A=A(A+I)...

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