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You can use the list method:

sage: a = random_matrix(ZZ,3)
sage: a
[22  3  0]
[-1 -1 -1]
[ 0  0 -1]
sage: a.list()
[22, 3, 0, -1, -1, -1, 0, 0, -1]

If you want a vector, you can do;

sage: vector(a.list())
(22, 3, 0, -1, -1, -1, 0, 0, -1)

You can use the list method:

sage: a = random_matrix(ZZ,3)
sage: a
[22  3  0]
[-1 -1 -1]
[ 0  0 -1]
sage: a.list()
[22, 3, 0, -1, -1, -1, 0, 0, -1]

If you want a vector, you can do;

sage: vector(a.list())
(22, 3, 0, -1, -1, -1, 0, 0, -1)

sage: M = a.parent()
sage: M
Full MatrixSpace of 3 by 3 dense matrices over Integer Ring
sage: M(a.list())
[22  3  0]
[-1 -1 -1]
[ 0  0 -1]
sage: M(a.list()) == a
True