scalar matrix Antonyms

No Synonyms and anytonyms found

Meaning of scalar matrix

Wordnet

scalar matrix (n)

a diagonal matrix in which all of the diagonal elements are equal

scalar matrix Sentence Examples

1. A scalar matrix is a square matrix with all non-diagonal elements equal to zero.
2. The trace of a scalar matrix is equal to the scalar value it represents.
3. The eigenvalue of a scalar matrix is equal to the scalar value it represents.
4. The eigenvectors of a scalar matrix are any nonzero vectors in the vector space.
5. The determinant of a scalar matrix is equal to the scalar value it represents raised to the power of the matrix order.
6. The inverse of a scalar matrix is equal to the scalar matrix with the inverse of the scalar value it represents.
7. A scalar matrix commutes with any matrix.
8. The product of two scalar matrices is a scalar matrix with the product of the scalar values it represents.
9. The sum of two scalar matrices is a scalar matrix with the sum of the scalar values it represents.
10. The adjoint of a scalar matrix is equal to the scalar matrix with the adjoint of the scalar value it represents.

FAQs About the word scalar matrix

What is the meaning of the word scalar matrix

a diagonal matrix in which all of the diagonal elements are equal

What are the synonyms of the word scalar matrix

No synonyms found.

What are the antonyms of the word scalar matrix

No antonyms found.

What is the usage of word scalar matrix

A scalar matrix is a square matrix with all non-diagonal elements equal to zero.

The trace of a scalar matrix is equal to the scalar value it represents.

How to use the word scalar matrix in a sentence?

The eigenvalue of a scalar matrix is equal to the scalar value it represents.

The eigenvectors of a scalar matrix are any nonzero vectors in the vector space.