Yash Karthik
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Reading Analysis 1
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We are all cyborgs now
ECE105
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MATH115
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Home
Evegreen
FIFO Buffer in Verilog
Evergreen
3D Rendering
Absolute Value Function
Actions create motivation
Adjugate of a matrix
Algebraic Multiplicity of an Eigenvalue
Arrays indices are just syntactic sugar for pointers
Barycentric Coordinates
Bases of Subspaces
Books
Calculating determinant of triangular matrices
Calculating L(x) of vectors in the Span
Calculating powers of matrices using similar matrices
Center of Mass
Cofactors of a matrix
Column Space
Complex Motion
Composition of Linear Transformations
CPP
Degree of the characteristic polynomial is same as n
Determinant as a product of eigenvalues raised to their algebraic multiplicity
Determinant of a 2x2 matrix
Determinant of an NxN matrix
Diagonal matrices and their properties
Diagonalization Theorem and related theorems
Different people see different things
Dimensions of a subspace
Each vector in the basis set for Rn, needs to be n-components tall
Eigenspaces
Eigenspaces are subspaces of Rn or Cn
Eigenvalues and Eigenvectors
Equality and Operations on Linear Transformations
Equality of Span Sets
Every vector in a subspace can be represented as a "unique" linear combination of the bases vectors
Everything I learnt while building Tinyrenderer
EVM
Finding bases for a matrix's subspaces
Finding coefficients to express a vector as a linear combination of the basis vectors
Finding Eigenvalues and Eigenvectors
Geometric multiplicity is always less than or equal to the algebraic multiplicity of an eigenvalue
Geometric Multiplicity of an Eigenvalue
Good ideas require boredom because that's when the brain flexes it's "idea muscles"
How are gravity, weight and normal force related
How do matrices represent systems of equations?
How do row and column operations affect the determinant
How does existence of pivots affect the solution set
How is linear dependence related to rank
How is linear dependence related to span
How Span relates to Consistency of Matrix-Vector Product
How to check consistency of matrix-vector product by carrying it to REF
How to cut down on Span Set elements
How to pour water, without making a mess
How to represent linear systems as matrix-vector equations
Implementing UART on iCESugar FPGAs
Invertibility and Determinant
Invertibility of Linear Transformations
Keccak-256
Kernel of a linear transformation
Knowledge Work
Linear Transformations
Making Semiconductors more Conductive by introducing Partially Filled States
Matrices Equal Theorem
Matrix Diagonalization
Matrix Inverses
Matrix Multiplication
Matrix Similarity
Matrix-Vector Product
Matrix-vector products as functions
Methods of doping
Newton's First Law of Motion
Newton's Second Law of Motion
Newton's Third Law of Motion
Null Space
Orthogonal Basis
Orthogonal Sets
Orthogonal sets without zero vector are linearly independent
Pivots, Row Echelon Form and Reduced REF
Plasma
PN Junctions
Polynomial Vector Spaces
Projections of Vectors
Properties of Determinants
Quick trick for finding eigenvalues of 2x2 matrices
Range of a linear transformation
Relationship between A, P and D of a diagonalizable matrix
Row operations do not affect dependence between columns of a matrix
Row operations do not change the row space
Row Space
Scaler Equation of a Plane
Semiconductors
Shortest Distance from a Point to a Line
Shortest Distance from a point to a plane
Solving systems of equations using row operations
Span and Spanning Sets
Span of vectors in Rn, is a subspace of Rn
Steps to solve an inequality
Subspace Test
System-Rank Theorem
The Cofactor Matrix
The computer figures out how many bytes to jump in pointer arithmetic
The Identity Operator or Transformation
The Physics of Electrical Conduction
The set of bases of all the eigenspaces is linearly independent
The Work-Energy Theorem
Theorem 29.1 - dimensions and rank of a matrix's subspace
Theorem 32.1 - Properties of Matrix Transformations
Theorem 32.2 - every linear transformation has a corresponding matrix transformation
Theorems about bases of subspaces
Theorems and Proofs related to Inverse Matrices
Tidal Energy
Trace of a Matrix
Tricks for calculating center of mass
Upper and Lower Triangular Matrices
Vector Equation of a Plane
Vector Space of linear transformations
Vectors
What are Elementary Row Operations
What are friction's dependencies
What are Inertial Reference Frames
What are Linear Dependence and Independence
What are subspaces
What are the possible solutions to systems of linear equations
What are vector spaces
What causes inconsistent systems
What does a determinant measure
What does a vector solution to a system of linear equations represent
What does Linear Dependence (or independence) even mean
What does the sign of work indicate
What is Energy
What is friction
What is Kinetic Energy
What is Mass
What is the rank of a matrix
What is the Tension Force
What is Work and how is it related to Kinetic Energy
Whatever you pay attention to is being fermented by your brain
Why do we care about Eigenvectors and Eigenvalues
Why static friction is a reactionary force and kinetic friction is not
You need n vectors in the basis set of Rn
References
All the data the EVM emits in Events
Being different beats being better.
Blockchain irreversibility is a feature not a bug
Good people speak in specifics
GPT is Photoshop for Text
How smart contracts can be upgraded
How to get new ideas
Is Taste Subjective?
Law and Culture are Intertwined
Meetings Affect Programmers more; Makers vs Manager Schedule
Notes on Solidity
Programming is a skill, not a piece of knowledge.
Reality has a surprising amount of detail
Social vs Science Experiments
Taste Driven Career
The Art of Fermenting Great Ideas
Tidal Barrages
Tidal Turbines (underwater turbines)
What AI can't write.
Work life balance is impossible
Writing well
You don't know what you don't know
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Upper and Lower Triangular Matrices
Upper and Lower Triangular Matrices
Aug 27, 2024
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We also have diagonal matrices where all entries outside the diagonal are zero.
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