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  • Basic terminology and notation

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  • Definition of matrix
  • Notation for entry of matrix
  • Definition of size of a matrix
  • Notation for the set of m by n matrices
  • Definition of the (main) diagonal of a matrix
  • Definition of equality of matrices
  • Definition of m by n matrix
  • Definition of square matrix
  • Definition of identity matrix
  • Definition of diagonal matrix
  • Definition of 0 matrix
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  1. Definition of diagonal matrix

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  • Definition of matrix diagonalizationClose match
  • Matrix diagonalizationClose match
  • Definition of block diagonal matrixClose match
  • Definition of the (main) diagonal of a matrixClose match
  • Definition of diagonalizable matrixClose match
  • Definition of square matrixClose match
  • Definition of orthogonally diagonalizable matrixClose match
  • Definition of matrixClose match
  • Definition of symmetric matrixClose match
  • Definition of identity matrixClose match
  • Basic terminology and notationClose match
  • An n-by-n matrix is diagonalizable if and only if it has n linearly independent eigenvectors.Close match
  • Block matricesClose match
  • A diagonalizable matrix is diagonalized by a matrix having the eigenvectors as columns.Close match
  • Diagonalizability requires splitting and equality of geometric and algebraic multiplicitiesClose match
  • An n-by-n matrix is diagonalizable if and only if the sum of the dimensions of the eigenspaces equals n.Close match
  • Definition of normal matrixClose match
  • Definition of an upper triangular matrixClose match
  • A matrix is orthogonally diagonalizable if and only if it is symmetric.Close match
  • Triangular matricesClose match

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