real matrix Sentence Examples

  1. A real matrix is a mathematical matrix whose elements are all real numbers.
  2. The rank of a real matrix is the maximum number of linearly independent rows or columns.
  3. The determinant of a real matrix is a scalar value that is invariant under row or column operations.
  4. The inverse of a real matrix exists if and only if its determinant is nonzero.
  5. The trace of a real matrix is the sum of its diagonal elements.
  6. The eigenvalue-eigenvector problem for real matrices involves finding a set of non-zero vectors that are multiplied by the matrix to produce a scaled version of themselves.
  7. The singular value decomposition of a real matrix decomposes the matrix into a product of three matrices.
  8. The QR decomposition of a real matrix decomposes the matrix into a product of an orthogonal matrix and an upper triangular matrix.
  9. The real matrix representation of a linear transformation is a matrix whose columns are the coordinates of the transformed vectors.
  10. The real matrix representation of a quadratic form is a symmetric matrix whose entries are the coefficients of the quadratic form.

real matrix Meaning

Wordnet

real matrix (n)

a matrix whose elements are all real numbers

Synonyms & Antonyms of real matrix

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FAQs About the word real matrix

a matrix whose elements are all real numbers

No synonyms found.

No antonyms found.

A real matrix is a mathematical matrix whose elements are all real numbers.

The rank of a real matrix is the maximum number of linearly independent rows or columns.

The determinant of a real matrix is a scalar value that is invariant under row or column operations.

The inverse of a real matrix exists if and only if its determinant is nonzero.