Question: (a) Prove that the vector space of all 2 2 matrices is a four-dimensional vector space by exhibiting a basis. (b) Generalize your result

(a) Prove that the vector space of all 2 × 2 matrices is a four-dimensional vector space by exhibiting a basis.
(b) Generalize your result and prove that the vector space Mm×m consisting of all m × n matrices has dimension mn.

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a is a basis since we can uniquely write any aE 11 bE 12 ... View full answer

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