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adottree
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S,T: V onto W are both linear maps. Show that M:={x out of V s.t. Sx out of Range(T)} is a subspace of V
I know that to show M is a subspace of V I must show:
i. 0 out of M
ii. For every u, v out of M, u+v out M
iii. For every u out of M, a out of F, au out of M.
I just don't know how to start it, can someone help?
I know that to show M is a subspace of V I must show:
i. 0 out of M
ii. For every u, v out of M, u+v out M
iii. For every u out of M, a out of F, au out of M.
I just don't know how to start it, can someone help?