Solved: Use Theorem 7 in Section 1.7 to explain why the
Chapter , Problem 16E(choose chapter or problem)
Problem 16E
Use Theorem 7 in Section 1.7 to explain why the columns of the matrix A are linearly independent.
Theorem 7:
Characterization of Linearly Dependent Sets
An indexed set S = {v1,…, vp} of two or more vectors is linearly dependent if and only if at least one of the vectors in S is a linear combination of the others. In fact, if S is linearly dependent and v1 ≠ 0, then some vj (with j > 1) is a linear combination of the preceding vectors, v1,…, vj–1.
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