---
title: Assignments 6
tags: Linear algebra
GA: G-77TT93X4N1
---

# Assignments 6

1. Consider the linear transformation $T\in\mathcal{L}(\mathbb{M}_{n\times n})$ with $T(X)=X^T$, where the superscript $T$ denotes matrix transpose.
1. Show that $T$ is invertible.
2. Find all the engenvalues of $T$ (with brief explanation, don't need to show detailed derivation).
3. Find or explain why it is not possible to find a matrix $A\in \mathbb{M}_{n\times n}$ such that $T(X) = AX$.
2. (p.169) 2.4
3. (p.169) 2.7( b)
4. (p.169) 2.8( c)
5. (p.169) 2.11+2.12

# TA solution

* [Assignment6_solution](https://drive.google.com/file/d/1B6pDYH6RWKrr_GuhfVHfrpQsvKmbhm1X/view?usp=sharing)