diagonal matrix
- noun
- /daɪˈæɡənəl ˈmeɪtrɪks/
- Specialized
:
matriz diagonal
- In linear algebra, a diagonal matrix simplifies many calculations because its off-diagonal elements are all zero.
Examples
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Let D be a diagonal matrix of the eigenvalues and U the matrix with the corresponding eigenvectors as columns.
Academic text (2010) -
A diagonal matrix has non-zero elements only on its main diagonal.
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OK, so a diagonal matrix is a special case of a Jordan form.
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OK, So that diagonal matrix D, what's that?
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Now, the same way a diagonal matrix in Y equals AX is very easy to understand.
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After that, the remaining diagonal matrix elements can be interpreted as classical probabilities.
Blog text (30) -
You can easily find the determinant of a diagonal matrix by multiplying its diagonal entries.
Surface Forms
Morphology
The phrase is compositionally transparent: 'diagonal' describes which part of the 'matrix' is relevant, signaling that the matrix is defined by its main diagonal. A B1 learner who knows 'diagonal' (the line joining opposite corners) and 'matrix' (an array of numbers) can infer that a diagonal matrix has its important/nonzero entries on the diagonal, so the meaning is derivable from the parts.
Etymology
Diagonal matrix comes from the simple picture of a square matrix that has numbers only on its main slanting line, the diagonal, and 'zeros' everywhere else, so many calculations become much easier.
