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Math Help - Proof for matrix

  1. #1
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    Proof for matrix

    This proof was confusing me so if anyone could show me how it is done, then i would appreciate it!

    If A is a nonsingular matrix and c is in the set of real numbers w/ c not equal to 0, prove that the inverse of cA (meaning (cA)^-1) is equal to the inverse of A * (1/c).
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  2. #2
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    Quote Originally Posted by buckaroobill View Post
    This proof was confusing me so if anyone could show me how it is done, then i would appreciate it!

    If A is a nonsingular matrix and c is in the set of real numbers w/ c not equal to 0, prove that the inverse of cA (meaning (cA)^-1) is equal to the inverse of A * (1/c).
    I think you mean that,
    (cA)^-1=(1/c)*A^-1

    This is easy.

    Just show that,
    [cA][(1/c)A^-1]=Identity.

    This is true because c(1/c)=1
    And A*A^-1=Identity.

    Thus this statement is true.
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  3. #3
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    Ah! Got it! Thanks!
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