Knowee
Questions
Features
Study Tools

How do you check whether two given matrices are similar?A. jordanform()B. jcf()C. jordan()D. none of the above

Question

How do you check whether two given matrices are similar?

A. jordanform()
B. jcf()
C. jordan()
D. none of the above

🧐 Not the exact question you are looking for?Go ask a question

Solution

Two matrices A and B are similar if there exists an invertible matrix P such that B = P^-1 * A * P. Here are the steps to check whether two given matrices are similar:

  1. First, find the invertible matrix P that could potentially satisfy the equation B = P^-1 * A * P. This can be done by finding a basis for each of the matrices A and B and then using these bases to construct P.

  2. Once you have found P, calculate P^-1 * A * P. This can be done by first finding the inverse of P (P^-1), then multiplying this by A, and then multiplying the result by P.

  3. Finally, check if the result from step 2 is equal to B. If it is, then the matrices A and B are similar. If it is not, then the matrices are not similar.

Note: The options A. jordanform(), B. jcf(), C. jordan() are functions in some programming languages like MATLAB and Python that can be used to find the Jordan form of a matrix, which is used in the study of similar matrices. However, these functions alone cannot determine if two matrices are similar. Therefore, the answer is D. none of the above.

This problem has been solved

Similar Questions

Are the two matrices similar? If so, find a matrix P such that B = P−1AP. (If not possible, enter IMPOSSIBLE.)A = 2 0 0 0 1 00 0 3 B = 1 0 0 0 2 00 0 3

Suppose two n × n matrices A and B are similar.(a) (8 pts) Show that A and B have the same eigenvalues

Prove or disprove: If two matrices of the same order have the same rank then theymust be row equivalent.

Which of the following is NOT a similarity criterion of traingles?a) AA b) SAS c) AAA d) RHS

Use the fact that matrices A and B are row-equivalent.A = −2 −5 8 0 −17 1 3 −5 1 5−5 −9 13 7 −671 7 −13 5 −3B = 1 0 1 0 1 0 1 −2 0 30 0 0 1 −50 0 0 0 0

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.