**Consider the Matrix**Matrix \( A \) is defined as:\[A = \begin{pmatrix} a_{11} & a_{12} & a_{13} & a_{14} \\ a_{21} & a_{22} & a_{23} & a_{24} \end{pmatrix}\]We aim to demonstrate that the product \( L(\vec{x}) = A \vec{x} \) is a linear transformation, where \( \vec{x} \in \mathbb{R}^4 \).

Answered: Image /qna-images/answer/a7fe4fab-d1e4-4bf1-8498-75a91142a998.jpg

Answered: Consider the matrix A = show that the…

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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Consider the matrix A = show that the product L(X)=Ai is a linear transformation, where žER*.