• In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero; the term usually refers to square matrices...
    17 KB (2,466 words) - 02:48, 13 May 2024
  • linear algebra, a square matrix A {\displaystyle A}  is called diagonalizable or non-defective if it is similar to a diagonal matrix. That is, if there exists...
    23 KB (4,044 words) - 13:36, 12 April 2024
  • Thumbnail for Block matrix
    A block diagonal matrix is a block matrix that is a square matrix such that the main-diagonal blocks are square matrices and all off-diagonal blocks are...
    29 KB (4,772 words) - 21:59, 25 April 2024
  • anti-diagonal (sometimes Harrison diagonal, secondary diagonal, trailing diagonal, minor diagonal, off diagonal or bad diagonal). An n-by-n matrix A is...
    4 KB (510 words) - 22:02, 15 March 2024
  • tridiagonal matrix is a band matrix that has nonzero elements only on the main diagonal, the subdiagonal/lower diagonal (the first diagonal below this)...
    15 KB (2,252 words) - 17:44, 24 February 2024
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    Every square diagonal matrix is symmetric, since all off-diagonal elements are zero. Similarly in characteristic different from 2, each diagonal element of...
    17 KB (2,823 words) - 17:24, 20 March 2024
  • Thumbnail for Diagonal
    adopted into Latin as diagonus ("slanting line"). In matrix algebra, the diagonal of a square matrix consists of the entries on the line from the top left...
    14 KB (1,900 words) - 01:10, 12 February 2024
  • spectral theorem states that a matrix is normal if and only if it is unitarily similar to a diagonal matrix, and therefore any matrix A satisfying the equation...
    13 KB (1,630 words) - 22:34, 6 December 2023
  • Thumbnail for Square matrix
    the main diagonal of a square matrix. They lie on the imaginary line which runs from the top left corner to the bottom right corner of the matrix. For instance...
    16 KB (1,831 words) - 01:25, 27 April 2024
  • mathematics, a square matrix is said to be diagonally dominant if, for every row of the matrix, the magnitude of the diagonal entry in a row is greater...
    6 KB (904 words) - 12:48, 17 April 2024