Solution Found!
[M] Use a matrix program to diagonalize if possible. Use
Chapter , Problem 25E(choose chapter or problem)
[M] Use a matrix program to diagonalize
\(A=\left[\begin{array}{rrr} -3 & -2 & 0 \\ 14 & 7 & -1 \\ -6 & -3 & 1 \end{array}\right]\)
if possible. Use the eigenvalue command to create the diagonal matrix D. If the program has a command that produces eigenvectors, use it to create an invertible matrix P. Then compute AP - PD and \(PDP^-1\). Discuss your results.
Questions & Answers
QUESTION:
[M] Use a matrix program to diagonalize
\(A=\left[\begin{array}{rrr} -3 & -2 & 0 \\ 14 & 7 & -1 \\ -6 & -3 & 1 \end{array}\right]\)
if possible. Use the eigenvalue command to create the diagonal matrix D. If the program has a command that produces eigenvectors, use it to create an invertible matrix P. Then compute AP - PD and \(PDP^-1\). Discuss your results.
ANSWER:Solution 25E
Consider the matrix,
To compute the matrices and
, use matrix program as follows:
Enter the matrix A:
A=[-3,-2,0;14,7,-1;-6,-3,1]
A =
-3 -2 0
14 7 -1
-6 -3 1
Enter the command to find eigenvalues of (A):
e = eig(A)
e =
2.0000
2.0000