let U.V,W be finite dimensional vector spaces over F ,
and L:U-V , M:V-W be linear mapping
a) r(ML) <= r(M)
b) n(ML) >= n(L)
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let U,V be vector space over F ,
L:U-V be a linear mappings , and {u1,.....,un}be a basis for U .
* show that L is injective iff L(u1) , ...... , L(un) are linearlyindependent
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