diagonalize
Arrange at angles
To diagonalize a matrix is to find an equivalent diagonal matrix—one with nonzero entries only along the main diagonal.
This is a fundamental operation in linear algebra that simplifies calculations and reveals a matrix's essential properties.
The matrix can be diagonalized if it has enough linearly independent eigenvectors.
More loosely, diagonalize can mean to arrange anything along a diagonal.
Transformation scaling constants
- eigenvectorsVectors scaled by matrices
- decompositionBreakdown into simpler parts
- transformationThorough change in form
- computationalRelating to digital calculation
algorithm · numeric · determinant · trace · rank
Diagonal-ribbed fabric
- herringboneV-shaped diagonal weave
- warpBend from true form
- weftCrosswise loom threads
- textileMaterial from woven fibers
Angled, not straightforward
- slantOblique angle or bias
- slopeAngled terrain or steepness
- angleGeometric measure of rotation
- transversalLine crossing multiple others
vertex · bisect · rhombus · parallelogram · polygon · quadrilateral · hypotenuse
eigenvalues
Transformation scaling constants
- eigenvectorsVectors scaled by matrices
- decompositionBreakdown into simpler parts
- transformationThorough change in form
computational · algorithm · numeric · determinant · trace · rank
twill
Diagonal-ribbed fabric
- herringboneV-shaped diagonal weave
- warpBend from true form
- weftCrosswise loom threads
textile · fabric · basketweave · jacquard · serge · gabardine · denim
oblique
Angled, not straightforward
transversal · vertex · bisect · rhombus · parallelogram · polygon · quadrilateral · hypotenuse
bishop
Diocesan clergy head
- fianchettoFlank bishop placement
- controlAuthority to direct
- pinPointed metal fastener