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Property of det

  1. Jun 10, 2007 #1

    413

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    why is det(kA)=k^ndet(A)?
    [show that it is true for all n and all k]
     
  2. jcsd
  3. Jun 10, 2007 #2

    Hurkyl

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    Well, what do you know about determinants? What thoughts have you already had on this problem?
     
  4. Jun 11, 2007 #3

    radou

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    As Hurkly suggested, use the definition of the determinant, and the answer should arise easily.
     
  5. Jun 11, 2007 #4

    HallsofIvy

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    In particular, how may "k"s are there in the matrix kA? What is the determinant of kI where I is the identity matrix?
     
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