In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero. The term usually refers to square matrices.An example of a 2-by-2 diagonal matrix is ; the following matrix is a 3-by-3 diagonal matrix: .An identity matrix of any size, or any multiple of it, will be a diagonal matrix.
Define diagonal matrix. diagonal matrix synonyms, diagonal matrix pronunciation, diagonal matrix translation, English dictionary definition of diagonal matrix. Noun 1. diagonal matrix - a square matrix with all elements not on the main diagonal equal to zero square matrix - a matrix with the same number of rows and...
Since in general, for , this can be true only if off-diagonal components vanish.Therefore, must be diagonal. Given a diagonal matrix , the matrix power can be computed simply by taking each element to the power in question,
Diagonal matrix definition is - a diagonalized matrix. Post the Definition of diagonal matrix to Facebook Share the Definition of diagonal matrix on Twitter
Definition of diagonal matrix, from the Stat Trek dictionary of statistical terms and concepts. This statistics glossary includes definitions of all technical terms used on Stat Trek website.
The trace, tr(A) of a square matrix A is the sum of its diagonal entries. While matrix multiplication is not commutative as mentioned above, the trace of the product of two matrices is independent of the order of the factors: tr(AB) = tr(BA). This is immediate from the definition of matrix multiplication:
Diagonal matrix definition, a square matrix in which all the entries except those along the diagonal from upper left to lower right are zero. See more. Diagonal matrix | Define Diagonal matrix at Dictionary.com
Diagonal definition is - joining two vertices of a rectilinear figure that are nonadjacent or two vertices of a polyhedral figure that are not in the same face. How to use diagonal in a sentence.
Diagonally definition at Dictionary.com, a free online dictionary with pronunciation, synonyms and translation. Look it up now! ... a set of entries in a square matrix running either from upper left to lower right (main diagonal or principal diagonal) or lower left to upper right (secondary diagonal).
Define diagonal. diagonal synonyms, diagonal pronunciation, diagonal translation, English dictionary definition of diagonal. diagonal adj. 1. Mathematics a. Joining two nonadjacent vertices of a polygon. b. Joining two vertices of a polyhedron not in the same face. ... principal diagonal - the diagonal of a square matrix running from the upper ...