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Zero Matrix has an Inverse over Finite Field?

The following code

M = Matrix([0], ring=GF(4))
M

Prints "[0]" as expected. The inverse of M clearly does not exist. Even so, running

M.inverse()

does not throw an error, and instead prints "[1]". What's going on here?

I am running Sage 8.1. Thanks for the help.

Zero Matrix has an Inverse over Finite Field?

The following code

M = Matrix([0], ring=GF(4))
M

Prints "[0]" as expected. The inverse of M clearly does not exist. Even so, running

M.inverse()

does not throw an error, and instead prints "[1]". What's going on here?

I am running Sage 8.1. Thanks for the help.

Zero Matrix has an Inverse over Finite Field?

The following code

M = Matrix([0], ring=GF(4))
M

Prints "[0]" as expected. The inverse of M clearly does not exist. Even so, running

M.inverse()

does not throw an error, and instead prints "[1]". What's going on here?

I am running Sage 8.1. Thanks for the help.