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章民 發問時間: 科學數學 · 1 0 年前

trace of the matrix是什麼意思

trace of the matrix的數學意思是什麼?

應用在哪方面上?

1 個解答

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  • 熊熊
    Lv 5
    1 0 年前
    最佳解答

    跡(trace):為主對角線元素和。為矩陣之對角線: A11, A22, A33, ..., Ann之和。

    The trace of a square matrix is the sum of its diagonal entries, which equals the sum of its n eigenvalues(特徵值).

    The trace of an n×n matrix A, denoted tr(A), is the sum of its diagonal entries, that is, tr(A)=a11+a22+…+ann; and therefore, if A is similar to B, then tr(A)=tr(B).

    2006-07-27 01:25:09 補充:

    refer to Matrix & MVA:1.) 多半應用在:多變量分析(Multi-variate Analysis, MVA),以及矩陣(Matrix), 或 線性代數 (Linear Algebra).2.) 矩陣(Matrix), 在"知識+" 格式限制下,並不容易表示.

    參考資料: refer to Matrix & MVA
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