is an option that determines whether to test if matrix columns or rows are normalized.
- Functions such as OrthogonalMatrixQ and UnitaryMatrixQ test whether the columns or rows of a matrix contains normalized vectors.
- If a matrix is square or has more rows than columns, NormalizedTrue indicates that the columns should be normalized.
- If a matrix has more columns than rows, NormalizedTrue indicates that the rows must be normalized.
Examplesopen allclose all
Basic Examples (1)
With the default value of the setting, True, the columns are tested:
Use NormalizedFalse to avoid having to normalize symbolic matrices:
Test whether the similarity matrix of JordanDecomposition can be made unitary:
Properties & Relations (3)
If a matrix has more columns than rows, NormalizedTrue tests if the rows are normalized:
If a matrix has more rows than columns, NormalizedTrue tests if the columns are normalized:
Wolfram Research (2014), Normalized, Wolfram Language function, https://reference.wolfram.com/language/ref/Normalized.html.
Wolfram Language. 2014. "Normalized." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Normalized.html.
Wolfram Language. (2014). Normalized. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Normalized.html