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diagonal matrices P6
I suppose everyone is thinking that I know absolutely no P6 maths... well, you're probably correct. Anyway, I'm LEARNING...
Given that the matrix P is such that P^(-1)AP is a diagonal matrix B, write down a possible form for B.
A =
4 -2 0
-2 0 -2
0 -2 1
So, what's a diagonal matrix anyway, and how does one do this?
Given that the matrix P is such that P^(-1)AP is a diagonal matrix B, write down a possible form for B.
A =
4 -2 0
-2 0 -2
0 -2 1
So, what's a diagonal matrix anyway, and how does one do this?
lesser weevil
I suppose everyone is thinking that I know absolutely no P6 maths... well, you're probably correct. Anyway, I'm LEARNING...
Given that the matrix P is such that P^(-1)AP is a diagonal matrix B, write down a possible form for B.
A =
4 -2 0
-2 0 -2
0 -2 1
So, what's a diagonal matrix anyway, and how does one do this?
Given that the matrix P is such that P^(-1)AP is a diagonal matrix B, write down a possible form for B.
A =
4 -2 0
-2 0 -2
0 -2 1
So, what's a diagonal matrix anyway, and how does one do this?
A diagonal matrix 3x3 is one of the form
a 0 0
0 b 0
0 0 c
In the question you have then P has three independent eigenvectors as its columns and P^(-1)AP is a diagonal matrix with the eigenvalues down the diagonal
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