John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Linear Algebra

Vector Spaces: When {U,V} Is More Than A Point Or A Line

sometimes {u,v} is just a point or a line linearly dependent The statement sometimes {u,v} is just a point or a line makes sense in the context...

John Rhodes
June 21, 2023
Linear Algebra

Linear Independence In Linear Algebra: Importance And Applications

linearly independent a set of vectors v1, …, vp in R^n is linearly independent if the vector equation x1v1 + x2v2 + … xpvp = 0 has...

John Rhodes
June 21, 2023
Linear Algebra

Determinant Test: Linear Independence Of Vectors In R^N

{v1…vp} in R^n is linearly independent if and only if x1v1 … + xpvp = 0 has only the trivial solution (x1=0, xp=0)Ax=0 has only the trivial...

John Rhodes
June 21, 2023
Linear Algebra

Determining Linear Independence Of A Set Of Vectors Using Row Echelon Form: A Math Problem Solution

What sets are linearly independant2 -74 -8-6 -121 pi 02 root(2) 04 sin2 03 e 02 4 1-1 1 0 5 0 0 2 4 1-1 1...

John Rhodes
June 21, 2023
Linear Algebra

Proving The Linear Dependence Theorem: A Guide To Non-Trivial Linear Combination In Math.

{v1…vp} is linearly dependent if and only if at least one of the vectors is in the span of the othersyou can remove at least one vector...

John Rhodes
June 21, 2023
Linear Algebra

Improving Learning Outcomes Through Gradually Increasing Tutoring Sessions: Benefits Of Increasing Span Criteria

increasing span criteria {v1…vp} is linearly independent if and only if every time you add one of these vectors into this set, the span gets larger Increasing...

John Rhodes
June 21, 2023
Linear Algebra

Linearly Independent Vectors: Definition And Properties

{v1} linearly independent if and only if the span {v1} is a linex1v1=0 has only the trivial solution x1=0 and v1 is not the hero vector A...

John Rhodes
June 21, 2023
Linear Algebra

Proving Linear Independence Of Vectors V1 And V2: A Comprehensive Guide

{v1, v2} linearly independent if and only if span {v1,v2} is a plane {v1, v2} are linearly independent if and only if neither of the vectors can...