Assertion: matrix | /r/HasProperty | diagonal
Facets:
value: most commonly
type: DEGREE
value: in mathematics
type: OTHER
value: both
type: DEGREE
Source sentences:
text: In the basis where they are both diagonal, it is clear that their product does not depend on their order because multiplication of diagonal matrices is just multiplication of numbers.
text: If m ≠ n , the matrix is rectangular
text: A matrix with non-zero entries only on the diagonal is called "diagonal".
text: The matrix and its inverse are diagonal matrices.
text: In mathematics, a matrix (plural matrices) is a rectangular array (see irregular matrix) of numbers, symbols, or expressions, arranged in rows and columns.
text: The matrix and its inverse are triangular matrices.
text: For instance, a matrix like this one, with all-zero entries below the top-left-to-lower-right diagonal ("the diagonal") is called "upper triangular".
text: Here is an example for 2×2 matrices (in fact, upper triangular matrices) which do not commute:
text: A matrix is a rectangular list of values with m rows and n columns
text: A matrix is just a rectangular grid of numbers.
text: A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries.
text: Most commonly, a matrix over a field F is a rectangular array of scalars each of which is a member of F. Most of this article focuses on real and complex matrices, that is, matrices whose elements are real numbers or complex numbers, respectively.
text: In that case we will get $T$ represented on those bases, but if we don't introduce those, $T$ will be $T$ and matrices will be matrices (rectangular arrays of numbers, or whatever definition you like).