Matrix

From NARS2000
Revision as of 13:43, 11 August 2017 by WikiSysop (talk | contribs) (Created page with "<table border="1" cellpadding="5" cellspacing="0" rules="none" summary=""> <tr> <td><apll>Z←f⌻R</apll></td> <td></td> <td></td> <td>applies the monadic function <a...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigationJump to search
Z←f⌻R applies the monadic function f to the (square) diagonalizable matrix R as a whole and returns the resulting matrix. The shape of the result is ⍴R.
Z←Lf⌻R applies the monadic derived function L∘f to the (square) diagonalizable matrix R as a whole and returns the resulting matrix. L is a scalar. The shape of the result is ⍴R.
Z←∘⌻R for scalar R, returns a (square) matrix representation of the Hypercomplex number R. The shape of the result is 2⍴=R.
Z←∘⌻R for vector R, returns a (square) diagonal matrix with the items in R inserted into the diagonal. R may be a simple or nested vector. In the latter case, the items of R must be simple numeric scalars, vectors, or matrices. The shape of the result is 2⍴+/≢¨R.