tind ALL values f k such that the tollowing vectors are linearly m dependent and k 16-k.
tind ALL values f k such that the tollowing vectors are linearly m dependent and k 16-k.
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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Question
![**Problem Statement:**
Find all values of \( k \) such that the following vectors are linearly independent:
\[
\begin{bmatrix}
1 \\
k
\end{bmatrix}
\]
and
\[
\begin{bmatrix}
k \\
6-k
\end{bmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f624280-ac22-40d0-83d1-40fb95ff1322%2F8ca64af4-e072-4fc8-9e14-70555cddefa2%2Fzfr4ac_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find all values of \( k \) such that the following vectors are linearly independent:
\[
\begin{bmatrix}
1 \\
k
\end{bmatrix}
\]
and
\[
\begin{bmatrix}
k \\
6-k
\end{bmatrix}
\]
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