Q1 2 0 1 Let A a 2 0 where a is some real number. 0 0 1 (1) Find the eigenvalues of A. ind nd th e dim encio nof o ech oic o of
Q1 2 0 1 Let A a 2 0 where a is some real number. 0 0 1 (1) Find the eigenvalues of A. ind nd th e dim encio nof o ech oic o of
Related questions
Question
Transcribed Image Text:Q1
Г2 0 1
Let A
2 0
where a is some real number.
0.
1
(1) Find the eigenvalues of A.
(2) Find a basis and the dimension of each eigenspace of A.
(Warning: your answer should depend on a)
(3) Find all values of a for which A has an eigenbasis and write it
down. (Here, an eigenbasis is a basis of R' consisting of three
linearly independent eigenvectors of A)
Show your work/Justify your answers!
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
