Thread: Linear Algebra.Similar to a triangle matrix.pls help!

We have the following matrix :



How can I found a triangle matrix similar to the initial matrix.

I was pleased if someone show me the step by step solution because I have 2 more matrices to do exactly the same procedure.

Thanks in Advance

Here's my idea: Find the eigenvalues of the matrix A and put them into a diagonal matrix.

Since a diagonal matrix is both upper and lower triangular, it's triangular.

Is there anything wrong with this idea?

Originally Posted by Showcase_22

Here's my idea: Find the eigenvalues of the matrix A and put them into a diagonal matrix.

Since a diagonal matrix is both upper and lower triangular, it's triangular.

Is there anything wrong with this idea?

This is right (diagonal matrix is both upper and lower triangular) but I think that the exercise asks to find exactly a triangular matrix which mean something less than you refer(diagonal). Anyway thanks alot for replying my post.

Originally Posted by ypatia

We have the following matrix :



How can I found a triangle matrix similar to the initial matrix.

I was pleased if someone show me the step by step solution because I have 2 more matrices to do exactly the same procedure.

Thanks in Advance

Perhaps studying some on-line lessons from here will help: similar matrices - Google Search