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If A=[{:(" "2,-3,5),(-1," "0,3):}]" and ...

If `A=[{:(" "2,-3,5),(-1," "0,3):}]" and "B=[{:(3,2,-2),(4,-3," "1):}]`, verify that `(A+B)=(B+A).`

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Let A=[{:(" "2,3,5),(-1,0,4):}]" and "B=[{:(4,-2,3),(2," "6,-1):}]. Verify that A+B=B+A.

Let A=[{:(3," "4),(-2," "0),(7,-5):}]" and "B=[{:(2,-3),(5," "6),(-1," "8):}]. Verify that (A+B)'=A'+B'.

Knowledge Check

  • If A=[{:(3,1,2),(1,2,-3):}]" and "B=[{:(-2," "0,4),(5,-3,2):}] , find (2A-B).

    A
    `[{:(8,2," "0),(3,7,-8):}]`
    B
    `[{:(8,2," "0),(-3,7,-8):}]`
    C
    `[{:(8,2," "0),(-3,7," "8):}]`
    D
    `[{:(8,2," "0),(3,7,8):}]`

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    If A=[{:(3," "5),(-2," "0),(6,-1):}],B=[{:(-1,-3),(4," "2),(-2," "3):}]" and "C=[{:(0," "2),(3,-4),(1," "6):}], Verify that (A+B)+C=A+(B+C).

    If A=[{:(3,2),(1,0):}],B=[{:(1,-2,5),(0,7,3):}]" and "C=[{:(8,1,-6),(2,-5,0):}] , verify that A(B+C)=(AB+AC).

    if A'=[{:(3,4),(-1,2),(0,1):}]and B=[{:(-1,2,1),(1,2,3):}], then verify that (i) (A+B)'=A'+B'(ii) (A-B)'=A'-B'

    Let A=[{:(1,-2),(5," "4),(3," "0):}],B=[{:(" "3," "1),(" "0," "2),(-3," "5):}]" and "C=[{:(" "4," "3),(-2," "2),(" "1," "6):}]. Verify that (A+B)+C=A+(B+C).

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    If A= [{:(,-2),(,4),(,5):}] , B=(1,3-6) verify that (AB)'=B'A'

    If A=[{:(0,-1,2),(4,3,-4):}] and B=[{:(4,0),(1,3),(2,6):}] then verify that (i) (A')'=A (ii) (AB)'=B'A'

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