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 | 1 | initial version |
There is no such command in Sage. But the rank is just obtain from conditions on the minors of the matrix.
sage: t = polygen(ZZ, 't')
sage: M = matrix([[t,0],[0,1]])
sage: M.minors(2)
[t]
sage: M.minors(1)
[t, 0, 0, 1]
In other words:
your matrix has rank 2 if $t \not= 0$
otherwise if $t \not= 0$ and $1 \not= 0$ your matrix has rank 1
otherwise your matrix has rank 0 (never happen)
| | 2 | No.2 Revision |
There is no such command in Sage. But the rank is just obtain from conditions on the minors of the matrix.
sage: t = polygen(ZZ, 't')
sage: M = matrix([[t,0],[0,1]])
sage: M.minors(2)
[t]
sage: M.minors(1)
[t, 0, 0, 1]
In other words:
if $t \not= 0$ your matrix has rank
2 if $t \not= 0$2otherwise if $t \not= 0$
andor $0 \not= 0$ or $1 \not= 0$ your matrix has rank 1otherwise your matrix has rank 0 (never happen)
