Answered: Hi, this is a Linear Algebra question…

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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Hi, this is a Linear Algebra question and I'm trying to find all the constant k for the following system. I got k=4 and k=6 but I am uncertain if this is correct or if there's a technical way to provide the answer. Please send a step by step. Thank you.

Find all values of the constant $ k $ for which the following system of equations has no solution.

\[
\begin{align*}
y + 2z &= 3 \\
2y + kz &= k
\end{align*}
\]

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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