Matrix Direct Sum
The matrix direct sum of n matrices constructs a block diagonal matrix from a set of square matrices, i.e.,
direct sum _(i=1)^nA_i = diag(A_1,A_2,...,A_n)
(1)
= [画像:[A_1 ; A_2 ; ... ; A_n].]
![画像:[A_1 ; A_2 ; ... ; A_n].](/index.cgi/contrast/https://mathworld.wolfram.com/images/equations/MatrixDirectSum/Inline7.svg){kind=link}
(2)
See also
Block Diagonal Matrix, Kronecker SumExplore with Wolfram|Alpha
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References
Ayres, F. Jr. Schaum's Outline of Theory and Problems of Matrices. New York: Schaum, pp. 13-14, 1962.Referenced on Wolfram|Alpha
Matrix Direct SumCite this as:
Weisstein, Eric W. "Matrix Direct Sum." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MatrixDirectSum.html