In this question you are given that { u1, u2, u3, u4, u5, u6, u7, u8 } are linearly independent vectors in R14, and that w is a vector in R14 such that w ∉ span{ u1, u2, u3, u4, u5, u6, u7, u8 }.
You are asked to determine whether certain sets of vectors in R14 are linearly dependent or independent. For each of the following statements, select True...
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In this question you are given that { u1, u2, u3, u4, u5, u6, u7, u8 } are linearly independent vectors in R14, and that w is a vector in R14 such that w ∉ span{ u1, u2, u3, u4, u5, u6, u7, u8 }.
You are asked to determine whether certain sets of vectors in R14 are linearly dependent or independent. For each of the following statements, select True or False
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Full points!
1.
The set { u2, u3, u4, u5, u7, -9 u4 - 4 w } is linearly independent
2.
The set { u2, u3, 7 u2 - 8 u4, u4, u5, u7 } is linearly independent
3.
The set { u1, u2, u3, u5, u7, u8, w } is linearly independent