independent.\ Q3. A subset

S^(')

of

S

is proper if

S^(')

is not equal to

S

. We write

S^(')S

to indicate that

S^(')

is a proper subset of

S

.\ Prove: If

S

is linearly independent and

W=span(S)

then no proper subset

S^(')

of

S

spans

W

.

Q3. A subset S of S is proper if S is not equal to S. We write SS to indicate that S is a proper subset of S. Prove: If S is linearly independent and W=span(S) then no proper subset S of SspansW