3. Among the following matrices with entries in the field of real numbers, exactly one is not diag- onalisable over this field. Which is it? (; ) (») ( 4 ) 2 (a) 1 3 1 -1 3 2 (c) -4 -3 3 (d) 3 2 1 -7 (e) 2 8 4 -7 4 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Among the following matrices with entries in the field of real numbers, exactly one is not diag-
onalisable over this field. Which is it?
(6) (; :)
2 1
1
(b)
-1
( (3)
(4) (:)
2
(c)
-4
3
3
2
1
2
-7
(e)
2
4
-7
4
1
Transcribed Image Text:3. Among the following matrices with entries in the field of real numbers, exactly one is not diag- onalisable over this field. Which is it? (6) (; :) 2 1 1 (b) -1 ( (3) (4) (:) 2 (c) -4 3 3 2 1 2 -7 (e) 2 4 -7 4 1
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