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If M=[{:(,1,2),(,2,1):}] and I is a unit...

If `M=[{:(,1,2),(,2,1):}]` and I is a unit matrix of the same order as that of M, show that `M^2=2M+3I`

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ICSE-MATRICES-Exercise 9C
  1. Given A=[{:(,0,4,6),(,3,0,-1):}] and B=[{:(,0,1),(,-1,2),(,-5,-6):}], ...

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  2. Let A=[{:(,2,1),(,0,-2):}], B=[{:(,4,1),(,-3,-2):}] and C=[{:(,-3,2),(...

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  3. If M=[{:(,1,2),(,2,1):}] and I is a unit matrix of the same order as t...

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  4. If A=[{:(,a,0),(,0,2):}], B=[{:(,0,-b),(,1,0):}], M=[{:(,1,-1),(,1,1):...

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  5. Given A=[{:(,4,1),(,2,3):}] and B=[{:(,1,0),(,-2,01):}], Find (i) A-...

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  6. If A=[{:(,1,4),(,1,-3):}] and B=[{:(,1,2),(,-1,-1):}], find: (A+B)...

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  7. Find the matrix A, if B=[{:(,2,1),(,0,1):}] and B^2=B+1/2A.

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  8. If A=[{:(,-1,1),(,a,b):}] and A^2=I, find a and b.

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  9. If A=[{:(,2,1),(,0,0):}], B=[{:(,2,3),(,4,1):}] and C=[{:(,1,4),(,0,2)...

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  10. If A=[{:(,1,4),(,2,1):}], B=[{:(,-3,2),(,4,0):}] and C=[{:(,1,0),(,0,2...

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  11. Solve for x and y (i) [{:(,2,5),(,5,2):}] [{:(,x),(,y):}]=[{:(,-7),(...

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  12. In each case given below, find : the order of matrix M, (i) M ...

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  13. If A=[{:(,2,x),(,0,1):}] and B=[{:(,4,36),(,0,1):}], find the value of...

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  14. If A=[{:(,3,7),(,2,4):}], B=[{:(,0,2),(,5,3):}] and C=[{:(,1,-5),(,-4,...

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  15. If A and B are any two 2 xx 2 matrices such that AB=BA=B and B is not ...

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  16. Given A=[{:(,3,0),(,0,4):}], B=[{:(,a,b),(,0,c):}] and AB=A+B, find t...

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  17. If P=[{:(,1,2),(,2,-1):}] and Q=[{:(,1,0),(,2,1):}] then compute : (...

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  18. Give the matrices : A=[{:(,2,1),(,4,2):}], B=[{:(,3,4),(,-1,-2):}] a...

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  19. If A=[{:(,1,2),(,3,4):}], B=[{:(,6,1),(,1,1):}] and C=[{:(,-2,-3),(,0,...

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  20. If A=[{:(,2,1),(,1,3):}] and B=[ {: (, 3),(,-11 ):}] . find the mat...

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