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Math 20

Null Space

Null Space In the linear equation Ax=b, when b is a zero vector (=Null vector or 0 vector), it is a set of all possible solutions x that satisfy the equation.  x = x 1 x 2 ..

Math 2024.11.19

Square Matrix

Square Matrix  A matrix with the same number of rows and columns. An n-by-n matrix is known as a square matrix of order n. Any two square matrices of the same order can be added and multiplied.Square matrices are often used to represent simple linear transformations, such as shearing or rotation. Row Vector Transformation  v R T " data-ke-type="html">HTML ..

Math 2024.11.19

eigenvalue, eigenvector

https://rfriend.tistory.com/181

Math 2024.10.15

Quaternion

Quaternion A set of numbers that use Complex Numbers. H or by H .If we express the three-dimensional vector in terms of the basis , we obtain .Quaternions : with the scalar value added to it.It can be expressed as .∴Quaternions can be said to be a vector based on ." data-ke-type="html">HTML 삽입미리보기할 수 없는 소스Quaternions multiplication rules   ..

Math 2024.09.29

Tensor product(Outer product) VS Dot Product

Tensor product(Outer product) The outer product (denoted by ⊗) results in a matrix (or tensor) rather than a scalar. Let’s say you have two vectors:  a → = a 1 a 2 ..

Math 2024.09.26
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