• Kenshin
Hi I need some help remembering the definition and conditions of a basis: In which way can the following implications go? 1) => 2), 2) => 1) or both? 1) A basis for a subspace or any space has to satisfy the following 2 conditions: a) be linearly independent, b) span the subspace; 2) The "Basis theorem 15" in David C. Lay's 3rd edition of Linear Algebra and its applications says: Let H be a p-dimensional subspace of R^n. Any linearly independent set of exactly p elements in H is automatically a basis for H. Also, any set of p elements of H that spans H is automatically a basis for H.
Mathematics
• Stacey Warren - Expert brainly.com
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