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Homework Help: Property of det

  1. Jun 10, 2007 #1


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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


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    Staff Emeritus
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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


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    Homework Helper

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


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    Science Advisor

    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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