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Find the trace of A, if A = [(1,2,-1//2)...

Find the trace of A, if `A = [(1,2,-1//2),(0,-1, 2),(-1//2,2,1)]`

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-MATRICES -SOLVED PROBLEMS
  1. If A=[(2,3,-1),(7,8,5)] and B=[(1,0,1),(2,-4,-1)] then find A+B.

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  2. If [(x-1,2,y-5),(z,0,2),(1,-1,1+a)]=[(1-x,2,-y),(2,0,2),(1,-1,1)] then...

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  3. Find the trace of A, if A = [(1,2,-1//2),(0,-1, 2),(-1//2,2,1)]

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  4. If A=[(4,-5),(-2,3)] then find -5A.

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  5. Find the additive inverse of A where A = [(i,0,1),(0,-i, 2),(-1,1,5)]

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  6. If A=[(2,3,1),(6,-1,5)] and B=[(1,2,-1),(0,-1,3)] then find the matrix...

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  7. IF A=[{:(0,1,2),(2,3,4),(4,5,6):}],B=[{:(1,-2,0),(0,1,-1),(-1,0,3):}] ...

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  8. if A=[{:(1,2),(3,4):}], B=[{:(3,8),(7,2):}] and 2X+A=B then find X

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  9. Two factories I and II produce three varieties of pens namely, Gel, Ba...

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  10. Construct a 3 xx 2 matrix whose elements are defined by a(ij) = 1/2|i ...

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  11. If A = [(0,1,2),(1,2,3),(2,3,4)], B = [(1,-2),(-1,0),(2,-1)] then find...

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  12. If A=[(1,-2,3),(2,3,-1),(-3,1,2)] and B=[(1,0,2),(0,1,2),(1,2,0)] then...

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  13. if A = [(I,0)(0,-i)] then show that A^(2) = -1 (i^(2)=-1).

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  14. If A = [(cos theta, sin theta),(-sin theta, cos theta)] then show that...

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  15. IF A=[{:(1,2,2),(2,1,2),(2,2,1):}] then show that A^2-4A-5I=O.

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  16. IF A=[{:(-2,1,0),(3,4,-5):}] and B=[{:(1,2),(4,3),(-1,5):}] then fin...

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  17. IF A=[{:(-1,2),(0,1):}] then find AA'. Do A and A' commute with respec...

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  18. If [(0,4,-2),(-4,0,8),(2,-8,x)] is a skew symmetric matrix then find t...

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  19. For any n xx n matrix A, prove that A can be uniquely expressed as a s...

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  20. Show that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a)

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