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Math Help - Equality

  1. #1
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    Equality

    What do I need to do to solve what the value of k does equality hold:

    |1 0 4| |1 0 4|
    |3 0 9|=k |3 0 9|?
    |5 5 20| |5 5 20|
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by mike1 View Post
    What do I need to do to solve what the value of k does equality hold:

    |1 0 4| |1 0 4|
    |3 0 9|=k |3 0 9|?
    |5 5 20| |5 5 20|
    are you trying to write matrices?

    notice that the matrix (or determinant of a matrix, not sure which you are doing) on the left is the same as on the right, except for the k. so we must have k=1, otherwise the equality wouldn't hold
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  3. #3
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    I am trying to do a matrices. I think my answer would be 1, but I am confused about the question too.
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by mike1 View Post
    I am trying to do a matrices. I think my answer would be 1, but I am confused about the question too.
    well, one way to look at it is that the k is a scalar multiple, so you can multiply each element within the matrix by k, then to have equality, you would equate corresponding components.

    so 1 = 1k
    0 = 0k
    4 = 4k
    .
    .
    .
    and so on

    then the obvious answer for k is 1
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  5. #5
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    Quote Originally Posted by mike1 View Post
    I am trying to do a matrices. I think my answer would be 1, but I am confused about the question too.
    The answer is k=1 because both matrices are unchanged.
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