Question 2: A 4x4 matrix A is given. Unfortunately, someone has spilled coffee on the matrix, so that some elements are not visible. (These are marked with *.) What you see is that 2 3 5 -1 0 * √2 A = * 2 3 5 * -1 0 √2 * Can we know with certainty whether the matrix is diagonalizable? a) Yes, the matrix is diagonalizable, no matter what the invisible elements are. b) No, the matrix is not diagonalizable, no matter what the invisible elements are. c) We cannot know; we must see the invisible elements to determine this. Note: only one answer

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 2:
A 4x4 matrix A is given. Unfortunately, someone has spilled coffee on the matrix, so that
some elements are not visible. (These are marked with *.) What you see is that
2
3
5
-1
0
√2
A
=
*
2
3 -1
50
√2
Can we know with certainty whether the matrix is diagonalizable?
a) Yes, the matrix is diagonalizable, no matter what the invisible elements are.
b) No, the matrix is not diagonalizable, no matter what the invisible elements are.
c) We cannot know; we must see the invisible elements to determine this.
Note: only one answer
Transcribed Image Text:Question 2: A 4x4 matrix A is given. Unfortunately, someone has spilled coffee on the matrix, so that some elements are not visible. (These are marked with *.) What you see is that 2 3 5 -1 0 √2 A = * 2 3 -1 50 √2 Can we know with certainty whether the matrix is diagonalizable? a) Yes, the matrix is diagonalizable, no matter what the invisible elements are. b) No, the matrix is not diagonalizable, no matter what the invisible elements are. c) We cannot know; we must see the invisible elements to determine this. Note: only one answer
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