Description
A n 1
A
H B
1 1 −1 −1
1 1 1 1 1 T
H = − − H−1 = H
2 1 1 1 1
1 −1 1 −1
B λ = 0,1,2,3 B
C = (B + I)−1
B
C B C
A S
−1 2 4
A = 0 0 50 0 1
A1001 = A A1000 = I
eAt
ATA A
1 −2 −4
ATA = −2 4 8.
−4 8 42
ATA
ATA
A
n n A n q1,…,qn
n λ1,…,λn Aqj = λjqj
A−1
b
b = c1q1 + c2q2 + ··· + cnqn .
c1 q
Ax = b
A−1b = d1q1 + d2q2 + ··· + dnqn .
d1 c
MIT OpenCourseWare http://ocw.mit.edu
18.06SC Linear Algebra
Fall 2011
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