Matrix as a Stack of Row Vectors

Representation of a Layer's State as a Sequence of Vectors

A computational model represents the three words in the sentence 'AI models learn' as three distinct numerical vectors: v1 = [0.1, 0.5], v2 = [0.9, 0.2], and v3 = [0.4, 0.7]. To process these words as a single, ordered sequence, how should these vectors be organized into a single matrix?

Interpreting Matrix Representations in a Language Model

Analyzing a Layer's State Matrix in a Language Model

Diagonal Matrix

Linear Algebra with Applications

Transpose

Matrix Multiplication

Using the Moore-Penrose Pseudoinverse to Solve Linear Equations

Linear Algebra (Determinant)

Linear Algebra - Unit Vector

Linear Algebra - orthonormal

Linear Algebra - orthogonal matrix

Linear Algebra - eigendecomposition

Singular value decomposition (SVD)

Linear Algebra - Dot Product and Multiplication Rules

Linear Algebra - Identity and Inverse Matrices

Linear dependence and span

Standard Basis Vector

Notation for a Tuple of Identical Elements

Notation for a Sequence of Variables

Tensor

Matrix

Element-wise Product

Broadcasting Mechanism

Vector

Scalars

Symmetric Matrix

Orthogonal Vectors

Trace of a Matrix

Eigenvector

Formula for Memory State as an Average of Keys and Values