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math

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(B-C)^2=(C-B)^2, Where B and C are
(n x n) in matrices.Is it true or false.

  • math - ,

    Let P=(B-C), and Q=(C-B)
    We understand from the definition of subtraction of matrices that P=-Q, or
    p(i,j)=-q(i,j).

    Let P=
    |2 0|
    |3 1|
    and Q=
    |-2 0|
    |-3 -1|
    and compare P^2 and Q^2 to make your conclusion.

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