Linear Algebra6.54.pls help **Problem Statement:**Find all fixed points of the linear transformation. Recall that the vector **v** is a fixed point of **T** when **T(v) = v**. (Give your answer in terms of the parameter **t**.)**Solution:**A horizontal expansion- Fixed points:\[\{ \text{Input a description here} \} : t \text{ is real}\]**Explanation:**This question involves finding fixed points for a given linear transformation where the vector `**v**` remains unchanged under the transformation **T**.- A "horizontal expansion" implies that the transformation scales vectors horizontally. Specific details about the transformation matrix or function would be necessary to provide a detailed solution.- The constraints suggest that there are real parameters involved, specifically indicated by the condition `t is real`. Further calculations or matrix definitions are required for a comprehensive explanation of fixed points.- There is a placeholder for inputs, suggesting that specific vector or matrix details should be described to proceed with finding the fixed points. Note: The image shows an incomplete segment, requiring additional context for complete understanding.

We have to find all the fixed points of a linear transformation. Fixed point criteria - Vector v is a fixed point of T when T(v)=v.We know that the representation matrix of horizontal expansion is given as k001, where k>1. Now to we will use the condition T(v)=v. For T(x,t) we have, ⇒T(x,t)=k001xt⇒T(x,t)=k·x+0·t0·x+1·t⇒T(x,t)=kxt For the above condition to be true we must have kx=x. Since k>1, therefore the only value of x that satisfies kx=x is x=0. This means that the fixed points of T are (0,t), where t is arbitrary. ANSWER : The fixed points are given as follows, (0,t); t∈ℝ