Recent content by Boom101

  1. B

    Linear algebra

    Thanks again mark.
  2. B

    Linear algebra

    Thanks again mark.
  3. B

    Showing a matrix is diagonalizable and calculating powers

    I did the work again and found my mistake. The eigenvectors are [0 -1 2], [2 -1 1], [-1 0 1]
  4. B

    Showing a matrix is diagonalizable and calculating powers

    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...
  5. B

    Linear algebra

    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?
  6. B

    Linear algebra

    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.
  7. B

    Linear algebra

    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...
  8. B

    Sketching Question

    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...
  9. B

    Sketching Question

    Is it absolutely necessary to find out the behavior of x -> a if you calculate whether the interval increases/decreases and the concavity?
  10. B

    Sketching Question

    Homework Statement f(x) = 2 / x + 3 Homework Equations None The Attempt at a Solution Nvm i'm an idiot. Y=0 is a horizontal asymptote
  11. B

    Inverse matrix

    Thanks everyone for the help. How do I find values other than h = 3?
  12. B

    Inverse matrix

    Ok so I get h-2 / 2h-6 I still don't understand how to finish.
  13. B

    Inverse matrix

    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...
  14. B

    Matrix Properties : A2 + 6A +9I3 = 0, show that A is invertible

    Yeah I knew what I did was wrong. In any case, I have no idea how to show that A is invertible.
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