선형대수(Linear Algebra)

1) linear equation in the variables $x1,x2,...,x_n$$a_1x_1+a_2x_2+...+a_nx_n=b$ $a_1,a_2...a_n : coefficients$2) System of linear equations(linear s

4. The matrix equation Ax=b * l*

7. Introduction to Linear Transformation Transformation A transformation (or function or mapping) $T$ from $R^n$ to $R^m$ : rule that assigns to each

1.1 System of linear equation 1.2 Row reduction and Echelon forms ![](https://velog.velcdn.com/i

1.5 Solution sets of Linear systems 1.6 Linear Independence ![](https://velog.velcdn.com/images/mj7

$A^T$로 표기행을 열로 열을 행으로 뒤바꾼 행렬$(AB)^T=B^TA^T$$n\\times n$행렬 $A$에 대하여 $CA=I$그리고 $AC=I$를 만족하는 $n\\times n$행렬 $C$가 있으면 $A$는 invertible marix이다 Theorem 4. $

2.5 Matirix Factoriztion

2.1

2.4 Partitioned Matrices 2.5 Matrix Factorization ![](https://velog.velcdn.com/images/mj756987/post/

Determinants$n\\times n$행렬 $A$의 determinants는 $det A$ 혹은 $|A|$로 표현한다$det A=\\displaystyle\\sum{i=1}^{n}{-1}^{1+i}a{1i} detA{1i}$이때, $detA{1i}$는 $A$의 1

Definition$n≥0$에 대해서 최대 $n$차 polynomials의 집합 $P^n$은 아래와 같은 형태의 모든 polynomials이다.$P(t)=a_0+a_1t+a_2t^2+...+a_nt^n$$P^n$은 vector spacevector space $V$의

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4.1 Eigenvectors and eigenvalues