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If M=[{:(,4,1),(,-1,2):}] show that 6M-M...

If `M=[{:(,4,1),(,-1,2):}]` show that `6M-M^2=9I`, where I is a `2 xx 2` unit matrix.

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ICSE-MATRICES-Exercise 9C
  1. If A=[{:(,3,7),(,2,4):}], B=[{:(,0,2),(,5,3):}] and C=[{:(,1,-5),(,-4,...

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

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

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

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

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

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

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  8. If A=[{:(,4,2),(,1,1):}], find (A-2I) (A-3I).

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  9. If A=[{:(,2,1,-1),(,0,1,-2):}] find: (i) A^(t).A (ii) A.A^(t) wher...

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  10. If M=[{:(,4,1),(,-1,2):}] show that 6M-M^2=9I, where I is a 2 xx 2 uni...

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  11. If P=[{:(,2,6),(,3,9):}] and Q=[{:(,3,x),(,y,2):}]. find x and y such ...

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  12. Evalutate: [{:(,2cos 60^@, -2sin 30^@),(,-tan 45^@,cos 0^@):}] [{:(,...

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  13. State with reason, whether the following are true of false. A, B and C...

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  14. State with reason, whether the following are true of false. A, B and C...

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  15. State with reason, whether the following are true of false. A, B and C...

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  16. State with reason, whether the following are true of false. A, B and C...

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  17. State with reason, whether the following are true of false. A, B and C...

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  18. State with reason, whether the following are true of false. A, B and C...

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  19. State with reason, whether the following are true of false. A, B and C...

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  20. State with reason, whether the following are true of false. A, B and C...

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