3 24 Find the inverse of if it exists. -4 a. does not exist c. 1 1 4 3 b. -1 d. -1 -1 1 -4 -3 4 25 If Then determinant of A =? A. 3 В. -3 С. 2 D. 5 _26. Which of the following statements is not true? a) An n x n matrix that is orthogonally diagonalizable must be symmetric. b) For any matrix A, A TA is symmetric. c) If A is symmetric, any two eigenvectors of A corresponding to different eigenvalues must be orthogonal. d) If A and B are symmetric matrices, AB must also be symmetric.

3 24 Find the inverse of if it exists. -4 a. does not exist c. 1 1 4 3 b. -1 d. -1 -1 1 -4 -3 4 25 If Then determinant of A =? A. 3 В. -3 С. 2 D. 5 _26. Which of the following statements is not true? a) An n x n matrix that is orthogonally diagonalizable must be symmetric. b) For any matrix A, A TA is symmetric. c) If A is symmetric, any two eigenvectors of A corresponding to different eigenvalues must be orthogonal. d) If A and B are symmetric matrices, AB must also be symmetric.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

3
24 Find the inverse of
if it exists.
-4
1
a. does not exist
c.
1
1
b.
d.
-1
-1
1
4
-3
25 If
A =
Then determinant of A =?
A. 3
В. -3
С. 2
D. 5
_26. Which of the following statements is not true?
a) An n x n matrix that is orthogonally diagonalizable must be symmetric.
b) For any matrix A, A TA is symmetric.
c) If A is symmetric, any two eigenvectors of A corresponding to different eigenvalues
must be orthogonal.
d) If A and B are symmetric matrices, AB must also be symmetric.
en

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