Premium Only Content
This video is only available to Rumble Premium subscribers. Subscribe to
enjoy exclusive content and ad-free viewing.

Rank and Nullity of a Matrix, Overdetermined Systems, Orthogonal Complements - Linear Algebra
7 months ago
29
Health & Science
Education
linear algebra
orthogonality in linear algebra
orthogonal spaces of column and row spaces
practical linear algebra with python
python for linear algebra
advanced linear algebra topics
method of least squares
linear algebra basics
overdetermined system
This video explains the rank and nullity of a matrix (e.g. 3x3, 2x2, 4x6), including the formula, questions and examples. The nullity is the dimension of the null space of a matrix (e.g. 3x5) and can be zero. The difference between overdetermined and underdetermined systems and what it means to be inconsistent. Orthogonal complements are also covered, what is meant by them, and why the row space is the complement of the nullspace. The fundamental vector spaces of a matrix and its transpose are also explained.
0:00 Rank and nullity of a matrix
3:31 Parameters in the general solution of a non-homogeneous system
5:37 Overdetermined systems
8:33 Underdetermined systems
11:56 Fundamental matrix spaces
14:57 Orthogonal Complements
Loading 1 comment...
-
DVR
Russell Brand
2 hours agoRoyal Cover-Up? The Final Chapter of Diana’s Death - SF616
94.4K22 -
LIVE
Donut Operator
3 hours agoCRIME/ CYCLISTS ARE SCUM/ GAMEBOY CAMERA CHAD
1,901 watching -
3:35:49
Right Side Broadcasting Network
4 hours agoLIVE REPLAY: White House Press Secretary Karoline Leavitt Holds a Press Briefing - 7/17/25
61.8K17 -
DVR
Nikko Ortiz
1 hour agoLive - News, Politics, Podcast And Naaah Im Playin We Chillen
16K -
2:06:45
Side Scrollers Podcast
3 hours agoAstronomer CEO/HR Scandal, NPR/PBS DEFUNDED, Mortal Kombat II Trailer REACTION | Side Scrollers
3.31K -
9:10
Tactical Advisor
5 days agoNEW Ported CZ P-10C (FIRST LOOK)
13 -
19:06
ArturRehi
11 hours agoLet's Analyse the Estonian Army: Are they ready for WAR WITH RUSSIA? | In-depth Analysis
32 -
LIVE
Viss
2 hours ago🔴LIVE - How to Win The Battleground with Tactics, Precision, & Knowledge!
186 watching -
LIVE
The Boomer Effect
2 hours agoMaking College Pay
37 watching -
51:01
Sean Unpaved
2 hours agoNo Respect for Hurts, Gillis Goes Wild, MLB Trade Deadline Buzz, & CFB's Big Question
18.5K