1001 Algebra Problems.PDF

(Marvins-Underground-K-12) #1

Set 64 (Page 150)



  1. a.Since adding the two equations results in
    the false statement 0 = 8, there can be no solu-
    tion of this system.

  2. a.Since multiplying the first equation by –2
    and then adding the two equations results in
    the true statement 0 = 0, there are infinitely
    many solutions of this system.

  3. c.There is no error.

  4. a.The two matrices on the left side of the
    equality do not have the same dimension, so
    their sum is undefined.
    997. b.The inner dimension of the two matrices on
    the left side are not the same. Therefore, they
    cannot be multiplied.
    998. b.The difference is computed in the wrong
    order. The correct statement should be


det = (4)(–1) – (2)(1) = –6.


  1. c.There is no error.

  2. a.You cannot add a 22 matrix and a real
    number because their dimensions are different.
    The sum is not well-defined.
    1001.c.There is no error.


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