Mastodawn

Alright, future engineers!
**Linear Independence:** A set of vectors is LI if none can be written as a linear combination of the others.
Ex: `c1v1 + c2v2 = 0` only if `c1=c2=0`.
Pro-Tip: Think of LI vectors as spanning unique directions. No redundancy!
#LinearAlgebra #Vectors #STEM #StudyNotes

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Clastic Artistic 1d ago

They like barrels and clouds

#digitalart #vectorart #graphicdesign #illustration #animals #scotland #fediart #vectors #fox

kipriyanovich 2d ago

Alright, future engineers!
The **Dot Product** is a scalar value showing how much two vectors point in the same direction.
Ex: For `v=<a,b>`, `w=<c,d>`, `v.w = ac+bd`.
Pro-Tip: If `v.w = 0`, the vectors are perpendicular! Use this to check orthogonality.
#LinearAlgebra #Vectors #STEM #StudyNotes

Global Feed 2d ago

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📢 VanEck Vectors Video Gaming and eSports ETF A leichter - Finanzen.net

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Before you continue

Clastic Artistic 2d ago

Red Fox WIP

#digitalart #vectorart #graphicdesign #illustration #animals #scotland #fediart #vectors #fox

Dyalog 5d ago

#APLQuest 2016-04: Write a function that takes vectors as its left and right arguments and returns them “meshed” into a single vector formed by alternately taking successive elements from each argument (see https://apl.quest/2016/4/ to test your solution and view ours).

#APL #Vectors #Meshed

APL Quest 2016-4: Just Meshing Around

Write a function that takes vectors as its left and right arguments and returns them “meshed” into a single vector formed by alternately taking successive elements from each argument.

kipriyanovich 5d ago

Alright, future engineers!
**Linear Combination:** A vector formed by scaling & adding other vectors.
Ex: `c1*v1 + c2*v2 + ...` (c=scalar, v=vector)
Pro-Tip: Essential for understanding vector `span` and `basis` in vector spaces!
#Vectors #LinearAlgebra #STEM #StudyNotes

kipriyanovich 6d ago

Alright, future engineers!
**Dot Product** measures how much two vectors point in the same direction, resulting in a scalar.
Ex: `[1,2] . [3,4] = 1*3 + 2*4 = 11`
Pro-Tip: If the dot product of two non-zero vectors is 0, they are perfectly orthogonal (perpendicular)!
#LinearAlgebra #Vectors #STEM #StudyNotes

Clastic Artistic 6d ago

That's the European Badger done. Three more to go and that's a good place to end the series.

#digitalart #vectorart #graphicdesign #illustration #animals #scotland #fediart #vectors #badger