Problem 5 For each of the following matrices A, find eigenvalues and eigenvectors (using Mathe- matica if you like) and draw clear phase plots for the system u' = Au, and classify the origin as an attractor, repellor, center, spiral attractor, or spiral repellor. Use a ruler (or electronic equivalent) for drawing axes. Draw arrows in the correct direction, and when eigenvectors are real, draw lines that clearly indicate the eigenspaces. 1. A = [ -3 2 -22

Q: None

A: To find the eigen values of 2x2 matrix :Write the characteristic equation,1.   x→​=[4−5​−10​]x→​det…

Q: Find the eigenvalues and eigenvectors of the matrix A = -3 8 01 = and

A: Answer

Q: 3. At a given time t, the rotation matrix R has the value: 0.675 0.2474 -0.6951 0.1775 0.6967…

A:

Q: Use Ackermann's Formula to find the observe answer as the value of the row 2 column 1 er -1 2) A = 0…

A: Given,     A=-1203     C=10

Q: please do part (b)

A: For the linear system arising from circuit theory, solve the initial value problem b)

Q: Consider the following matrix A (whose 2nd and 3rd rows are not given), and vector x. a11 A = x= -S…

A: We have to find a11

Q: Problem 2.9. Let T: R³ R³ be a right-handed 90° rotation with axis the line x = y in the xy-plane…

A:

Q: A linear system x = Ax with state variables x₁(t) and a₂(t) is defined by the equations: *1 = 3x1…

A:

Q: Let 13 20 x 20+ y = 2 be the equation of a curve in the xy-plane. Find the equation y = T(x) of the…

A:

Q: 0 0 Matrix A = -2 2 0 only has an eigenvalue = 2. 1 5 2 2.

A: Given : A = 200-220152