Homework Statement
Consider the matrix A =
| 7 16 8|
|-1 0 -1|
|-2 -10 -3|
Show that A is diagonalizable. Find an invertible matrix P and diagonal matrix D and use the obtained result in order to calculate A^2 and A^3
Homework Equations
Determinant equation I suppose.
D is the diagonal...
That was the exact problem statement. It was b) from which a) was the question above. Regarding my first question, I'm left with about 20 different combinations of variables which I can't simplify. If I can't simplify, should I just leave it the way it is?
Ok thanks. I just have another question. Let M be an nxn matrix this is invertible and let A be an nxn matrix. show that the eigenvalues of (inverse of M) are the roots of the polynomial p(λ) = det(A-λM). I just have no idea where to go on this one.
Homework Statement
B =
|a 1 -5 |
|-2 b -8 |
|2 3 c |
Find the characteristic polynomial of the following matrix.
Homework Equations
None
The Attempt at a Solution
So basically I have to find the det(B-λI). No matter what I do to the matrix I can't make the...
And i did mean 2 / (x+3). I was just copying what was down on the page, but I know my original post was wrong. I was looking for the y intercept, which there isn't, correct? I'm just wondering if on top of finding if the interval increase/decrease and concavity I should also find the behavior...
A =
| 1 2 0 |
| 0 2h-6 h-2 |
| 0 1 1 |
How do I go further? 2h - 6 = 1? Or should it be (2h-6 times a constant x) = 1, and then write the answer in terms of x? I thought of also using x(2h-6) = 1, isolate x and replace it in x(h-2) = 0 to put the answer in terms of h...