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If A+B=[{:(4,3,2),(4,1,7),(3,2,0):}]andA...

If `A+B=[{:(4,3,2),(4,1,7),(3,2,0):}]andA-B=[{:(6,1,4),(-4,3,9),(5,8,2):}]` Then find A and B.

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The correct Answer is:
`A=[{:(5,2,3),(0,2,8),(4,5,1):}],B=[{:(-1,1,-1),(4,-1,-1),(-1,-3,-1):}]`
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KUMAR PRAKASHAN-MATRICES -PRACTICE WORK
  1. Compute : [{:(1,-1),(0,2),(2,3):}]([{:(1" "0" "2),(2" "0" "1):}]-[{:(0...

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  2. Find X and Y,if X+Y=[{:(5,2),(0,9):}]andX-Y=[{:(3,6),(0,-1):}].

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  3. If A+B=[{:(4,3,2),(4,1,7),(3,2,0):}]andA-B=[{:(6,1,4),(-4,3,9),(5,8,2)...

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  4. If Y=[{:(4,3),(2,5):}]and3X-Y=[{:(5,0),(1,1):}] then find X.

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  5. If f(x)=x^(2)-2x then find f(A) where A=[{:(0,1,2),(4,5,0),(0,2,3):}]...

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  6. Solve : [{:(x^(2)),(y^(2)):}]+2[{:(2x),(3y):}]=3[{:(7),(-3):}].

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  7. A=[{:(1,4),(3,2),(2,5):}]andB=[{:(-1,2),(0,5),(3,1):}] then find the ...

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  8. Find A^(2)-5A+6I, if A=[{:(2,0,1),(2,1,3),(1,-1,0):}].

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  9. If A=[{:(1,0),(-1,7):}]andA^(2)=8A+KI then find K.

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  10. Prove that , {[{:(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,...

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  11. If A=[{:(1,alpha),(0,1):}] then by the principle of mathematical indu...

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  12. If A=[{:(0,1,2),(2,-3,0),(1,-1,0):}]andf(x)=x^(3)+4x^(2)-x, then find ...

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  13. If A=[{:(2,3,-4),(5,1,0),(3,-2,5):}]andI=[{:(1,0,0),(0,1,0),(0,0,1):}]...

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  14. Three friends Ram , Shyam and Rahul went to a shop .Ram purchased 12 d...

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  15. Two farmers Ramkishan and Gurpreet singh cultivates only three varieti...

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  16. A=[{:(5,-1),(6,7):}],B=[{:(2,1),(3,4):}]andC=[{:(1,3),(-1,4):}] then ...

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  17. A=[{:(2,3,-1),(1,-2,4):}]andB=[{:(1,4),(2,5),(-1,3):}] then verify tha...

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  18. If A=(1)/(3)[{:(1,2,2),(2,1,-2),(-2,2,-1):}] then show that A A'=A'A=...

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  19. If A=[{:(1,2,5),(5,1,1),(3,0,4):}] then find A-2A'.

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  20. For the matrices A and B, verify that (AB)'=B'A. (i) A=[{:(1),(3),...

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