Linear algebra question PLEASE!
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Linear algebra question PLEASE!

[From: ] [author: ] [Date: 12-09-20] [Hit: ]
0),(0,1)} ?? How can I do this particular problem?take the coefficients a ,......
Let S be the subspace of a (2x2) matrix consisting of all symettric (2x2) matrices. Show that S is spanned by the matrices of {(1,0),(0,0)} and {(0,0),(0,1)} ?? How can I do this particular problem?

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A 2x2 symmetric matrix looks like this:

[ a b ]
[ b c ]

take the coefficients a , b and c out:

a{(1,0),(0,0)} +b{(0,1),(1,0)}+c{(0,0),(0,1)}

So S is spanned by

{(1,0),(0,0)},{(0,1),(1,0)} and {(0,0),(0,1)}

you missed one here in your question

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Lol !

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