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Are the vectors 5 Choose 3 If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. 800-8 + 5 and [17 + 17 linearly independent? =

Are the vectors 5 Choose 3 If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. 800-8 + 5 and [17 + 17 linearly independent? =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3 -00-0- 5 Are the vectors Choose 3 3 5 + and 17 linearly independent? If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. 1-E = +
Transcribed Image Text:3 -00-0- 5 Are the vectors Choose 3 3 5 + and 17 linearly independent? If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. 1-E = +
Expert Solution
Step 1

Given vectors:

35-1, -311 and 317-1

Now, find the determinant of the vectors

3-335117-11-1

Take -3 common from Row 1

(-3)-11-15117-11-1

Now, the row 1 and row 3 are same.

Hence, the determinant of the function = 0

So, the vectors are linearly dependent

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