Alternating Sum of Squares is a Triangular Number in Minecraft #Shorts @DrWeselcouch

Uploaded August 2021 | Updated September 2026, 8 hours ago

Alternating Sum of Squares is a Triangular Number in Minecraft #Shorts

I had to pull off a Calc 2 sneak attack!

$Checking if the Span is Full Dimensional In this video we show that the span of (3, 1) and (2, -2) is all of R2. We do this by expressing an arbitrary vector in R2 as a linear combination of (3, 1) and (2, -2). How to prove that Span{v1, v2} = R2. Subscribe and Ring the 🔔 https://www.youtube.com/c/DrWeselcouch Discord 🎮 https://discord.gg/7JUbZ2cVXr Reddit 👽 https://www.reddit.com/user/CoffeeAndCalcWithDrW PLAYLISTS 🎵 : Linear Algebra Problems: https://youtube.com/playlist?list=PLscpLh9rN1Rfo0ifw9RZFoJ2Te2jk_pwX Number Theory Problems: https://youtube.com/playlist?list=PLscpLh9rN1RfOeiBA6o4YSXtAWF3-3_AT Multivariable Calculus Problems: https://youtube.com/playlist?list=PLscpLh9rN1RcdbQLLvRItUxOMRKnbDJaw Calculus 2 Problems: https://youtube.com/playlist?list=PLscpLh9rN1RcqIZyidbChYLuMAdZhhEwN Math and Minecraft: https://youtube.com/playlist?list=PLscpLh9rN1Rf-dqLO4r3GAwvm1O_xL7D1 Combinatorics Problems: https://youtube.com/playlist?list=PLscpLh9rN1RfNzyUsA_KzsfQ_k1AR9Ebs Geometry Problems: https://youtube.com/playlist?list=PLscpLh9rN1RdFKjA3-vvTL_xG6s3YxB6r Calculus Problems: https://youtube.com/playlist?list=PLscpLh9rN1Rcv3XYXq5Z0oXMEOVL-aocI Statistics Problems: https://youtube.com/playlist?list=PLscpLh9rN1RexwCjV9_1RmfluCTv5HKe1$

Solutions of Systems of Linear Equations