Let $F$ be a field and $M_2 (F)$ denotes the ring of all $2\times 2$ matrices with entries in $F$.
I was wondering if someone could help me about this claim: Why is $M_2 (F)$ a direct sum of two minimal left ideals?
Thanks in advance.
Let $F$ be a field and $M_2 (F)$ denotes the ring of all $2\times 2$ matrices with entries in $F$.
I was wondering if someone could help me about this claim: Why is $M_2 (F)$ a direct sum of two minimal left ideals?
Thanks in advance.
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