3. Consider the set of nxn matrices over the real numbers. Show this is a vector space. And determine whether or not the following subsets are linear subspaces: a. Set of invertible matrices b. Set of matrices of trace $= 0$ .' c. Subset of $D = {(a, 1/ a, b) ? a, b$ in $R}$ in $R^{3}$

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3. Consider the set of nxn matrices over the real numbers. Show this is a vector space. And determine whether or not the following subsets are linear subspaces: a. Set of invertible matrices b. Set of matrices of trace

= 0

.' c. Subset of

D = {(a, 1/ a, b) ? a, b

in

R}

in

R^{3}

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(Solved): 3. Consider the set of nxn matrices over the real numbers. Show this is a vector space. And determi ...

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