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Undid revision 1137588578 by 124.123.19.19 (talk)Reverted unexplained edit. Two kinds of diagonal matrix are described in the lead. This is an example of the latter type. |
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==Vector-to-matrix diag operator==
A diagonal matrix <math>\mathbf{D}</math> can be constructed from a vector <math>\mathbf{a} = \begin{bmatrix}a_1 & \dotsm & a_n\end{bmatrix}^\textsf{T}</math> using the <math>\operatorname{diag}</math> operator:
<math display="block">\mathbf{D} = \operatorname{diag}(a_1, \dots, a_n)</math>
This may be written more compactly as <math>\mathbf{D} = \operatorname{diag}(\mathbf{a})</math>.
The same operator is also used to represent [[Block matrix#Block diagonal matrices|block diagonal matrices]] as <math> A = \operatorname{diag}(A_1, \dots, A_n)</math> where each argument <math>A_i</math> is a matrix.
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