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  3. let r be the ring of all 2 x 2 real matrices. a. a

Let R be the ring of all 2 x 2 real matrices. A. Assume that A is...

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Basic Math

LetR be the ring of all 2 x 2 real matrices.
A. Assume that A is an element of R such that AB=BA for all Belements of R. Prove that A is a scalar multiple of the identitymatrix.
B. Prove that {0} and R are the only two ideals.

Hint: Use the Matrices E11, E12, E21, E22.

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