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maths

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a matrix X has a+b rows and a+2 columns while the matrix Y has b+1 rows and a+3 columns. both matrices XY and YX exist. find a and b. can you say XY and YX sre of same type? are they equal?

  • maths - ,

    [X]
    a+b*a+3;
    [Y]
    b+1*a+3;
    so,
    a+2=b+1 ...1
    a+b=a+3
    a is cut so,
    b=3,
    now,
    put b=3 in (1)
    a+2=3+1
    a=4-2
    a=2
    a=2 and b=3.
    XX and YX are not of the same type .they are unequal.

  • maths - ,

    Did you meant
    [X]
    a+b*a+2;

    instead of
    [X]
    a+b*a+3;

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