Question
In: Advanced Math
Consider the 90 degrees rotation matrix R = [0 −1 1 0] a) Are the eigenvalues...
Consider the 90 degrees rotation matrix R = [0 −1 1 0]
a) Are the eigenvalues real?
b) Are the eigenvectors real?
c) Find the determinant of R.
d) Find the trace of R.
Solutions
Colby Messinger answered 2 months agoRelated Solutions
Show that R-1(a)R(a) = I, where I is the identity matrix and R(a) is the rotation matrix.
Show that R-1(a)R(a) = I, where I is the identity matrix and R(a) is the rotation matrix. This equation shows that the inverse coordinate transformation returns you to the original coordinate system.
eigenvalues of the matrix A = [1 3 0, 3 ?2 ?1, 0 ?1 1] are...
eigenvalues of the matrix A = [1 3 0, 3 ?2 ?1, 0 ?1 1] are 1, ?4
and 3. express the equation of the surface x^2 ? 2y^2 + z^2 + 6xy ?
2yz = 16. How should i determine the order of the coefficient in
the form X^2/A+Y^2/B+Z^2/C=1?
Q3. Consider the matrix A . Use R statistical software to determine the eigenvalues and normalized...
Q3. Consider the matrix A .
Use R statistical software to determine the eigenvalues and
normalized eigenvectors of A, trace of
A, determinant of A, and inverse
of A. Also determine the eigenvalues and
normalized eigenvectors of
A-1. Your answer
should include your R code (annotated with comments) and a
hand-written or typed summary of the answers from the R output.
find all eigenvalues and eigenvectors of the given matrix A= [1 0 0 2 1 -2...
find all eigenvalues and eigenvectors of the given matrix
A= [1 0 0
2 1 -2
3 2 1]
Show how Rotation Matrix R transforms vectors to vectors
Show how Rotation Matrix R transforms vectors to vectors
1- Write a Matlab program to perform image resizing, image rotation to 90 degrees, conversion to...
1- Write a Matlab program to perform image resizing, image
rotation to 90 degrees, conversion to binary and gray scale, Image
segmentation and extraction, draw and find the region of interest
with a circle, Plot bounding box, Region extraction and
histogram.
2- Write a MATLAB program to Design a GUI calculator which is as
shown in below figure 1. Add tool bar options to the GUI calculator
and Highlight specific codes written in program and signify the
steps followed.
Consider the given matrix. −1 2 −5 1 Find the eigenvalues. (Enter your answers...
Consider the given matrix.
−1
2
−5
1
Find the eigenvalues. (Enter your answers as a comma-separated
list.)
λ = 3i,−3i
(I got these right)
Find the eigenvectors of the matrix. (Enter your answers in order
of the corresponding eigenvalues, from smallest to largest by real
part, then by imaginary part.)
K1 =
K2 =
I can't seem to get the eigenvectors right.
If A is the matrix for projecting onto a plane S in R³, then the eigenvalues of A in non- decreasing order are:
If A is the matrix for projecting onto a plane S in R³, then the eigenvalues of A in non- decreasing order are:
Consider the matrix A = [2, -1, 1, 2; 0, 2, 1, 1; 0, 0, 2,...
Consider the matrix A = [2, -1, 1, 2; 0, 2, 1, 1; 0, 0, 2, 2; 0,
0, 0, 1]. Find P, so that P^(-1) A P is in Jordan normal form.
Consider Matrix A = ([5, 0, 4],[1, -1, 0],[1, 1, 0]). Note that [5, 0, 4]...
Consider Matrix A = ([5, 0, 4],[1, -1, 0],[1, 1, 0]). Note that
[5, 0, 4] is row 1. [1, -1, 0] is row 2. [1, 1, 0] is row 3.
a) Find all Eigenvalues and Eigenvectors.
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