strangerRidingCaml

Matrices and Matrix OperationsMatrix Representation of Linear TransformationsA linear transformation can be represented by a matrix. Let $\mathbf{A}$ be an $m \times n$ matrix and $\mathbf{x}$ be a vector in $\mathbb{R}^n$. The product $\mathbf{Ax}$ represents the transformation of $\mathbf{x}$ by $\mathbf{A}$.Matrix Addition, Scalar Multiplication, and MultiplicationMatrix Addition: If $\mathbf..

Introduction to Vectors and Vector SpacesVectors in $\mathbb{R}^n$A vector in $\mathbb{R}^n$ is an ordered list of $n$ real numbers. It can be represented as:$$ \mathbf{v} = \begin{bmatrix} v_1 \\ v_2 \\ \vdots \\ v_n \end{bmatrix} $$where $v_1, v_2, \ldots, v_n$ are the components of the vector $\mathbf{v}$.Vector Addition and Scalar MultiplicationVector Addition: If $\mathbf{v} = [v_1, v_2, \l..