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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 0 matrix

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  • Definition of 0 vectorClose match
  • Any matrix times the 0 matrix equals the 0 matrix.Close match
  • Definition of nullity of a matrixClose match
  • A matrix with a 0 row/column has determinant 0Close match
  • The null space of a matrix is a subspace of R^n (or C^n).Close match
  • Definition of matrixClose match
  • Definition of matrix null space (right)Close match
  • Equivalence theorem for nonsingular matrices: the null space of the matrix A is {0}.Close match
  • The 0 vector is unique.Close match
  • Definition of m by n matrixClose match
  • Basic terminology and notationClose match
  • Definition of identity matrixClose match
  • Definition of matrix null space (left)Close match
  • The set of m by n matrices is a vector space.Close match
  • Definition of unit matrixClose match
  • Equivalence theorem for nonsingular matrices: the nullity of the matrix A is 0.Close match
  • The 0 scalar multiplied by any vector equals the 0 vector.Close match
  • Definition of nilpotent matrixClose match
  • Definition of square matrixClose match
  • Definition of nonsingular matrix: the associated homogeneous linear system has only the trivial solutionClose match

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