How to Find Nullity of a 2x2 Matrix | Linear Algebra Exercises

Опубликовано: 11 Февраль 2025
на канале: Wrath of Math
633
16

We go over how to find the nullity of a 2x2 matrix with four examples. First we will find the nullity of each matrix using the matrix dimension theorem, meaning we will find the rank and then subtract this from the number of columns. Recall the rank of a matrix is the number of linearly independent rows it has. We will finish by solving an example using the definition of nullity, so we will find a basis for the null space and the dimension of the null space indicates the nullity. #linearalgebra

Join Wrath of Math to get exclusive videos, music, and more:
   / @wrathofmath  

Linear Algebra course:    • Linear Algebra  
Linear Algebra exercises:    • Linear Algebra Exercises  

Null Space and Nullity:    • Find Null Space and Nullity of a Matr...  

◉Textbooks I Like◉
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Abstract Algebra: https://amzn.to/3IjoZaO
Linear Algebra: https://amzn.to/43xAWEz
Calculus: https://amzn.to/3PieD1M
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd

★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits:   / wrathofmathlessons  
◆ Donate on PayPal: https://www.paypal.me/wrathofmath

Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!

Outro music is mine. You cannot find it anywhere, for now.

Follow Wrath of Math on...
● Instagram:   / wrathofmathedu  
● Facebook:   / wrathofmath  
● Twitter:   / wrathofmathedu  

My Math Rap channel:    / @mathbars2020