# Matrix Span

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• October 7th 2009, 04:23 PM
studentmath92
Matrix Span
Show that if,

A= $\left(\begin{array}{cc}1 & 0\\0 & 0 \end{array}\right)$

B = $\left(\begin{array}{cc}0 & 0\\0 & 1 \end{array}\right)$

C = $\left(\begin{array}{cc}0 & 1\\1 & 0 \end{array}\right)$

Then span of {A,B,C} is the set of all symmetric 2x2 matrices