Mastodawn

Alright, future engineers!
The **Dot Product** takes two vectors and returns a scalar. It tells you how much they align!
Ex: For `v=[v1,v2]` & `w=[w1,w2]`, `v.w = v1w1 + v2w2`.
Pro-Tip: If `v.w = 0`, the vectors are orthogonal (perpendicular)!
#LinearAlgebra #Vectors #STEM #StudyNotes

kipriyanovich Apr 26

Alright, future engineers!

The **Determinant** of a square matrix is a scalar value that tells you if the matrix is invertible.
Ex: For `[[a,b],[c,d]]`, `det = ad - bc`.
Pro-Tip: If `det = 0`, the matrix is singular (no inverse), meaning `Ax=b` has no unique solution!

#LinearAlgebra #Matrices #STEM #StudyNotes

illestpreacha Apr 26

Poetic Carousel 8

#NaPoWriMo #NaPoGenMo #Ruby #Python #Carousel

Blog/Ruleset : https://blog.illestpreacha.com/napowrimo-genmo2026-matricepoem2

For the 19th poem of NaPoWriMo/NaPoGenMo 2026, Poetic Carousel 8 rules are coded in Ruby & Python: Where the starting letter of each word is derived from a 4x4 matrix that is generated with no repeat letters and then transposed.

#Poem

Bring your Resolve Strongly
Hoping Gains Unanimously Proceeds
During all Quests, Ventures
Merging levels, Knowledgeable Conquests

Blending Humor. Drama, Memoirs
Your goals, actions ,luck
Resonating ultra quality Knowledge
splurging past various content

#creativecoding #napowrimo2025 #napogenmo2026 #lineralgebra #worldbuilding #mathematical #linearalgebra #napowrimo24 #matix #ciphers

kipriyanovich Apr 24

Alright, future engineers!
**Matrix multiplication** combines two matrices, forming a new one where elements are dot products of rows & columns.
Ex: `(AB)_ij = sum(A_ik * B_kj)`. Inner dimensions must match!
Pro-Tip: It's NOT commutative (AB != BA)!
#Matrices #LinearAlgebra #STEM #StudyNotes

kipriyanovich Apr 21

Alright, future engineers!

The **Dot Product** of two vectors gives a scalar, measuring their alignment.
Ex: For `v=[1,2]`, `w=[3,4]`, `v.w = (1*3) + (2*4) = 11`.
Pro-Tip: A zero dot product means the vectors are orthogonal!

#LinearAlgebra #Vectors #STEM #StudyNotes

illestpreacha Apr 20

Poetic Carousel 7

#NaPoWriMo #NaPoGenMo #Ruby #Python #Carousel

Blog/Ruleset : https://blog.illestpreacha.com/napowrimo-genmo2026-matricepoem

For the 19th poem of NaPoWriMo/NaPoGenMo 2026, Poetic Carousel 7 rules are coded in Ruby & Python: Where the starting letter of each word is derived from a 3x3 matrix that is generated with no repeat letters and then transposed.

#Poem

Entering Before Comfort
Determining Many Vessels
Quietly Securing Keys

Exiting Despondent Quest
Bettering Many Skills
Confronting various Knowledge

#creativecoding #napowrimo2025 #napogenmo2026 #micropoem #worldbuilding #mathematical #linearalgebra #napowrimo19

Linotype Pilgrim Apr 16

OH "Most programmers will go far, far, far out of their way with trigonometry and complex loops to avoid having to learn basic #linearalgebra things."

kipriyanovich Apr 15

Alright, future engineers!
The **Norm** (`||v||`) is the length or magnitude of a vector. Ex: For `v=[3,4]`, `||v|| = sqrt(3^2 + 4^2) = 5`. Pro-Tip: Essential for calculating distances & normalizing vectors to unit length!
#LinearAlgebra #VectorMath #STEM #StudyNotes

kipriyanovich Apr 15

Alright, future engineers!

The **Identity Matrix (I)** is a square matrix with 1s on the main diagonal & 0s elsewhere.
Ex: For 2x2, `I = [[1,0],[0,1]]`.
Pro-Tip: It's the 1 of matrix multiplication – `AI = IA = A`. Essential for inverses!
#LinearAlgebra #MatrixMath #STEM #StudyNotes

kipriyanovich Apr 14

Alright, future engineers!
**Matrix Multiplication** combines two matrices `A` & `B` into `C=AB`. Each `C_ij` is `(Row i of A) . (Col j of B)`.
Ex: `(m x n)` times `(n x p)` gives `(m x p)`. Inner dimensions `n` must match!
Pro-Tip: Order matters! `AB` is rarely equal to `BA` (not commutative).
#LinearAlgebra #MatrixOps #STEM #StudyNotes