square matrix
- noun
- /skwɛr ˈmætrɪks/
- Specialized
:
matriz cuadrada
- is initiated by a recursive Cholesky factorization of the upper left square matrix A11 of order n1 = n/2; i.e.,
Examples
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So suppose you have two square matrices A&B.
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The performance is plotted for square matrices of sizes 10 to 100 in steps of 5, 150 to 1000 in steps of 50, and all powers of two from 16 to 512.
Academic text (1994) -
Although this generalizes, we have two square matrices end by end.
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I will use the term matrix to mean a square matrix, so I didn't want to use that terminology.
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Then a sub B is not a square matrix anymore, it's M by something less than M OK, but the point is that even if it's even, it has less than M columns.
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The performance is plotted for square matrices of sizes 10 to 100 in steps of 5, and 150 to 1000 in steps of 50.
Academic text (1994) -
33) 0 to (infinity-1), which is 'all 9 numbers' is good enough for practical number applications. Vedic mathematics makes use of the virtues of all 2D square matrix positions (excluding infinity).
Blog text (9) -
A square matrix is defined as a matrix with an equal number of rows and columns.
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To calculate the determinant, first ensure you are working with a square matrix.
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In linear algebra, a square matrix is essential for solving systems of equations.
Surface Forms
Morphology
The meaning is directly and transparently derived from combining 'square' (having equal sides/shape) with 'matrix' (a rectangular arrangement of numbers): applying 'square' to a matrix naturally conveys that its dimensions are equal (rows = columns). This compositional pattern is common in mathematics and across languages, so a B1 learner who knows both constituents will readily infer the correct meaning.
Etymology
Square matrix comes from the idea of a square and a matrix as a grid; just as a square has equal sides, a square matrix has the same number of 'rows' and 'columns', so it means a matrix with equal height and width.
