4. Problem 4 For what values of r are the vectors {(1). (+²)} linearly independent?
4. Problem 4 For what values of r are the vectors {(1). (+²)} linearly independent?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![4. **Problem 4:** For what values of \( r \) are the vectors
\[
\left\{ \begin{pmatrix} r \\ 1 \end{pmatrix}, \begin{pmatrix} r+2 \\ r \end{pmatrix} \right\}
\]
linearly independent?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0f3171b-001d-4e71-b013-5e26782f20a2%2F57d3e371-746b-4897-a69b-32b9176bec70%2Flsivcwq_processed.png&w=3840&q=75)
Transcribed Image Text:4. **Problem 4:** For what values of \( r \) are the vectors
\[
\left\{ \begin{pmatrix} r \\ 1 \end{pmatrix}, \begin{pmatrix} r+2 \\ r \end{pmatrix} \right\}
\]
linearly independent?
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