1.7.19 Question Help * Determine by inspection whether the vectors are linearly

Question

1.7.19 Question Help * Determine by inspection whether the vectors are linearly independent. Justify your answer. -10 -15 Choose the correct answer below. O A. The set is linearly dependent because neither vector is a multiple of the other vector. Two of the entries in the first O B. The set is linearly dependent because the first vector is a multiple of the other vector. The entries in the first vector are O C. The set is linearly independent because the first vector is a multiple of the other vector. The entries in the first vector O D. The set is linearly independent because neither vector is a multiple of the other vector. Two of the entries in the first vector are -5 times the corresponding entry in the second vector. But this multiple does not work for the third entries. 5 times the corresponding entry in the second vector. are 5 times the corresponding entry in the second vector. vector are -5 times the corresponding entry in the second vector. But this multiple does not work for the third entries.

Explanation / Answer

Answer: D

Because first two entries in the first vector are -5 multiples of corresponding entries in second vector. But this is not true for third entry.

Finally there is no other way to represent one vector with the help of other(i.e multiples of other).

So, they are mutually independent vectors.

Thank you.

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.