Section 7.3 - Eigenvalues and Eigenvectors

$\overline{v_1}$

$A\overline{v_1}$

$\overline{v_2}$

$A\overline{v_2}$

Reset

A =

Eigendirections

M: {{4, 2}, {1, 3}}
O = Intersect(yAxis, xAxis)
A = (2, 0)
a = Vector(O, A)
a': (M * a)
A': (M * A)
B = (0, 2)
b = Vector(O, B)
B': (M * B)
b': (M * b)
I = Identity(2)
eigenvals2: eigenvals
λ_1: eigenvals2(1)
λ_2: eigenvals2(2)
M_1: M - (λ_1 * I)
M_2: M - (λ_2 * I)
s_1: (M_1(1, 2), (-M_1(1, 1)))
s_2: (M_2(1, 2), (-M_2(1, 1)))
c: (M_2(1, 1) * x) + (M_2(1, 2) * y) = 0
d: (M_1(1, 1) * x) + (M_1(1, 2) * y) = 0
InputBox1 = Textfield(M)
e: false
Grid = true
text5: "\overrightarrow{v_1}=" + (LaTeX[a]) + ""
text7: "A\overrightarrow{v_1}=" + (LaTeX[a']) + ""
text6: "\overrightarrow{v_2}=" + (LaTeX[b]) + ""
text8: "A\overrightarrow{v_2}=" + (LaTeX[b']) + ""
text1: "A=" + (LaTeX[M]) + ""
show = 10 (slider from -5 to 20, step 0.1)