7 7.1
7.2
P.2356

n × n A [ajk] A1
n × n
A A nonsingular matrix
A A singular matrix A

B C A AB I CA I


6 P.287

2 × 2 A [ajk] A a11B11
a12B12a21B21a22B22 m × n mn
mn 3 × 3


x x2
1, x, x2 3
2
n
aΤb 1 × 1
a b inner productdot product (a, b) ab
6 P.288
(a, b)
(a, b)



3 n Rn a b
(6)
En Rn IIII
(2) Euclidean norm
(7)

4
α x β f (x), g(x),…
function space

(8)
(9)


X Y X x
Y y X Y mapping
F Y y X x F x image F(x) [Fx] X v x c
(10)
6 P.290

Rn Rm
X Rn Y Rm m × n A [ajk] Rn Rm
(11)
A(ux) AuAx A(cx) cAx
Rn Rm m × n A
Rn Rm F
e(1) ,…,e(n) Rn Rn x


F Rn
Rn standard basis
(12)
6 P.291

x Rm y F(x)
e(1) y (1) F( e(1) )
A a11 y1 (1) , a21 y2
(1) ,…, am1
ym (1) e(2) A 2
6 P.291

Rn Rm A FA F
representation
j, e(3) k

x1 a1 0 a
1

A (x1 , x2) (2x1 5x2, 3x1 4x2)