2.1. 1회 - 3/17(Linear Algebra) ¶
Linear Algebra 한
1 Linear Equations in Linear Algebra
Linear Equations Matrices ,
Linear System -> Linear Equation 합
variable,coefficient,constant 해 .
1 Linear Equations in Linear Algebra
Linear Equations Matrices ,
Linear System -> Linear Equation 합
variable,coefficient,constant 해 .
Linear System 해
A L.S has either
1. No solution
2. exactly one solution
3. infinitely many solution
1. No solution
2. exactly one solution
3. infinitely many solution
한 하학 표
1 -> 평행
2 -> 한
3 ->
.
1 -> 평행
2 -> 한
3 ->
.
1 -> inconsistent
2 -> consistent
2 -> consistent
) A L.S is consistent <-> A L.S has a solution
(exactly one solution -> Only 함 )
(exactly one solution -> Only 함 )
2.2. 1회 - 3/18(Linear Algebra) ¶
Linear System Matrix equation 함.
L.S <-> matrix equation
Ax=b A : coefficient matrix ( 행) -> mxn행 -> : m : n
Ax=b A : coefficient matrix ( 행) -> mxn행 -> : m : n
ex) let Ax=b with A: 4x5 matrix -> L.S : 4 , 5
*elimination() 한
-> matrix equation augmented matrix 향 함
-> matrix equation augmented matrix 향 함
Elementary Equation Operations(E.E.O)(L.S and Ax=b) Elementary Row Operations(E.R.O)(A b) 해 , 함.
Elementary Equation Operations(E.E.O) |
1. 한 한. |
2. . |
3. 한 k(k≠0) 한 한. |
Elementary Row Operations(E.R.O) |
1. 한 행 한(kRi, k≠0) |
2. 행 (Ri<->Rj) |
3. 한행 K 한 행 한.(k×Ri + Rj -> new Rj) |
E.R.O reversible 하 한 inverse E.R.O 함.
E.R.O | inverse E.R.O |
kRi, k≠0 | (1/k)Ri, k≠0 |
Ri<->Rj | Ri<->Rj |
k×Ri + Rj | (-k)×Ri + Rj |
E.R.O 하 할 하 , 한 함. 해 .
2.3. 1회 - 3/18(C programming) ¶
1. C
2. C
3. Hello World!
4.
5. printf 함 해
2. C
3. Hello World!
4.
5. printf 함 해
2->
#include <stdio.h> int main(void) { printf("Hello world! \n"); return 0; }
3 -> 1. 형 하 해 .
홍
홍
홍
홍
홍
2. , , 화호 하 해.(\n )
5->#include<stdio.h> int main(void) { printf("Hello Everybody \n"); printf("%d\n", 1234); printf("%d %d\n", 10, 20); return 0; }
#include <stdio.h> int main(void) { printf("My age: %d \n", 20); printf("%d is my level \n", 100); printf("Today\nmorning\neverybody\n"); }
1 해. (25, 345, 9393) %d 하 하.
____ .
25 .
345 - 9393.
2 해. %d 해 해.25 .
345 - 9393.
7x8 = 56
3x2 = 6
3x2 = 6
2.4. 푸 ¶
- , .
희 12학
A system of linear equation is said to be consistent if it has either one solution or infinitely many solutions; a system is inconsistent if it has no solution.
키
) A L.S is consistent <-> A L.S has a solution.
(exactly one solution -> Only 함 )
system infinitely many solutions consistent ? 해 .- 희