square matrix

Noun

Meaning

square matrix (plural square matrixes or square matrices)

(mathematics) A matrix having the same number of rows as columns.

Hypernyms

Hyponyms

Examples

If the Gaussian elimination applied to a square matrix A produces a row echelon matrix B, let d be the product of the scalars by which the determinant has been multiplied, using above rules. Source: Internet

Conversely, any square matrix with zero trace is a linear combinations of the commutators of pairs of matrices. Source: Internet

Definition There are various equivalent ways to define the determinant of a square matrix A, i.e. one with the same number of rows and columns. Source: Internet

In order to construct such an equiangular system, we start with this 6 × 6 square matrix : : A straightforward computation yields (where I is the 6 × 6 identity matrix). Source: Internet

Matrices A square matrix with entries in a field is invertible (in the set of all square matrices of the same size, under matrix multiplication ) if and only if its determinant is different from zero. Source: Internet

Note that the trace is only defined for a square matrix (i. Source: Internet

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