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Math Help - solving for x in the matrix

  1. #1
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    solving for x in the matrix

    How would i solve for x in the matrix equation.

    x 0 0
    0 x 0 = 0
    0 0 x
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  2. #2
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    Question for you

    Do you know how to take the determinant of a diagonal matrix?
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  3. #3
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    Quote Originally Posted by wonderboy1953 View Post
    Do you know how to take the determinant of a diagonal matrix?
    could you show me how to apply it to this question if that not too much of a problem?
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  4. #4
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by sigma1 View Post
    How would i solve for x in the matrix equation.

    x 0 0
    0 x 0 = 0
    0 0 x
    You should be able to know that the you are multiplying x with a 3 \times 3 identity matrix.

    \left(\begin{array}{ccc}x&0&0\\0&x&0\\0&0&x\end{ar  ray}\right)= <br />
x \times \left(\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{ar  ray}\right)= 0

    So, what can you say about x?
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  5. #5
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    Quote Originally Posted by harish21 View Post
    You should be able to know that the you are multiplying x with a 3 \times 3 identity matrix.

    \left(\begin{array}{ccc}x&0&0\\0&x&0\\0&0&x\end{ar  ray}\right)= <br />
x \times \left(\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{ar  ray}\right)= 0

    So, what can you say about x?

    am trying to follow can you show all the steps you use to arrive at the answer.. that would mean x =1
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