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申論題資訊

試卷:無年度 - 主題課程_線性映射:one to one and onto#107850
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題組內容

109成大電機_線性代數
 (21 %) Let T: U→Vbe a linear transformation of vector spaces.

申論題內容

(b). Suppose T is one-to-one and {u1,... ,uk} is a linearly independent set of vectors in U. Prove that [T(u1),....,T(uk)] is a linearly independent set of vectors in V.(7 pts)