matrix addition Synonyms

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matrix addition Meaning

Wordnet

matrix addition (n)

the addition of matrices

matrix addition Sentence Examples

  1. Matrix addition involves combining two matrices of the same size by adding corresponding elements.
  2. In matrix addition, the resulting matrix is obtained by summing the elements in each position of the component matrices.
  3. The concept of matrix addition allows for the manipulation and combination of matrices in mathematical operations.
  4. Matrix addition is a fundamental operation in linear algebra and has applications in various fields, such as computer graphics and data analysis.
  5. The sum of two matrices is defined only if they have the same number of rows and columns.
  6. The identity matrix, a square matrix with diagonal elements equal to 1 and off-diagonal elements equal to 0, acts as an additive identity for matrix addition.
  7. Matrix addition follows the associative property, meaning that the order of addition does not affect the result.
  8. The additive inverse of a matrix is a matrix that, when added to the original matrix, results in the zero matrix.
  9. Matrix addition can be generalized to the concept of tensor addition, which involves adding tensors of the same order and dimensions.
  10. Vector addition is a special case of matrix addition where the matrices involved are 1xN row vectors or Nx1 column vectors.

FAQs About the word matrix addition

the addition of matrices

No synonyms found.

No antonyms found.

Matrix addition involves combining two matrices of the same size by adding corresponding elements.

In matrix addition, the resulting matrix is obtained by summing the elements in each position of the component matrices.

The concept of matrix addition allows for the manipulation and combination of matrices in mathematical operations.

Matrix addition is a fundamental operation in linear algebra and has applications in various fields, such as computer graphics and data analysis.