hw4: corrected 2, done 1 and 2
This commit is contained in:
parent
fd5ce90894
commit
6f07bf149c
3 changed files with 8 additions and 9 deletions
|
@ -67,8 +67,8 @@ $$c(x) = \left( \frac{1}{3+\lambda} \right)^2 + \left( -\frac{1}{1-\lambda} \rig
|
||||||
(\lambda^4 - 6\lambda^3 + 13\lambda^2 - 12\lambda + 16) +
|
(\lambda^4 - 6\lambda^3 + 13\lambda^2 - 12\lambda + 16) +
|
||||||
(\lambda^4 + 2\lambda^3 - 11\lambda^2 - 12\lambda + 36) +
|
(\lambda^4 + 2\lambda^3 - 11\lambda^2 - 12\lambda + 36) +
|
||||||
(\lambda^4 + 4\lambda^3 - 2\lambda^2 - 12\lambda + 9)$$$$
|
(\lambda^4 + 4\lambda^3 - 2\lambda^2 - 12\lambda + 9)$$$$
|
||||||
+ (-\lambda^5 -14\lambda^4 +12\lambda^3 +49\lambda^2 -84\lambda + 36) = $$$$
|
+ (\lambda^6 -14\lambda^4 +12\lambda^3 +49\lambda^2 -84\lambda + 36) = $$$$
|
||||||
=-\lambda^5 +17\lambda^4 -12\lambda^3 -49\lambda^2 +48\lambda +13 = 0
|
=-\lambda^6 +17\lambda^4 -12\lambda^3 -49\lambda^2 +48\lambda +13 = 0
|
||||||
\Leftrightarrow $$$$ \Leftrightarrow
|
\Leftrightarrow $$$$ \Leftrightarrow
|
||||||
\lambda = \lambda_1 \approx -0.224 \lor
|
\lambda = \lambda_1 \approx -0.224 \lor
|
||||||
\lambda = \lambda_2 \approx -1.892 \lor
|
\lambda = \lambda_2 \approx -1.892 \lor
|
||||||
|
|
Binary file not shown.
|
@ -1,8 +1,7 @@
|
||||||
clc
|
clc
|
||||||
|
syms l
|
||||||
X = [1/(3+l); (-1)/(1-l); (-1)/(2-l)]
|
X = [1/(3+l); (-1)/(1-l); (-1)/(2-l)]
|
||||||
|
|
||||||
syms l
|
|
||||||
a1 = (3+l)^2;
|
a1 = (3+l)^2;
|
||||||
a2 = (1-l)^2;
|
a2 = (1-l)^2;
|
||||||
a3 = (2-l)^2;
|
a3 = (2-l)^2;
|
||||||
|
@ -12,12 +11,12 @@ t2 = a1*a3
|
||||||
t3 = a1*a2
|
t3 = a1*a2
|
||||||
t4 = a1*a2*a3
|
t4 = a1*a2*a3
|
||||||
|
|
||||||
c1 = fliplr(coeffs(t1))
|
c1 = (coeffs(t1, 'All'))
|
||||||
c2 = fliplr(coeffs(t2))
|
c2 = (coeffs(t2, 'All'))
|
||||||
c3 = fliplr(coeffs(t3))
|
c3 = (coeffs(t3, 'All'))
|
||||||
c4 = fliplr(coeffs(t4))
|
c4 = (coeffs(t4, 'All'))
|
||||||
|
|
||||||
ctot = fliplr(coeffs(t1+t2+t3-t4))
|
ctot = coeffs(t1+t2+t3-t4, 'All')
|
||||||
|
|
||||||
sol = double(solve(t1+t2+t3-t4==0, l, 'Real', true))
|
sol = double(solve(t1+t2+t3-t4==0, l, 'Real', true))
|
||||||
|
|
||||||
|
|
Reference in a new issue