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Math Help - need help with definition

  1. #1
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    need help with definition

    I am having trouble understanding the given definition

    - A square matrix A=[aij] is upper triangular if and only if the ith row starts with at least i-1 zeros.

    I know what upper triangular looks like but the above definition doesnt make any sense to me, and what do they mean by (i-1 zeros).

    Thanks in advanced
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  2. #2
    MHF Contributor

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    Quote Originally Posted by justin016 View Post
    I am having trouble understanding the given definition

    - A square matrix A=[aij] is upper triangular if and only if the ith row starts with at least i-1 zeros.

    I know what upper triangular looks like but the above definition doesnt make any sense to me, and what do they mean by (i-1 zeros).

    Thanks in advanced
    That says "the first row starts with 1-1= 0 zeros", "the second row starts with 2-1= 1 zeros", "the third row starts with 3-1= 2 zeros", etc.
    In other words:
    \begin{bmatrix}x & x & x \\ 0 & x & x \\ 0 & 0 & x\end{bmatrix}
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  3. #3
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    wow i couldnt believe i didnt get that. Thanx a bunch
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