Problem 3 O Let A be the (343) - mabrik displayed in calls A32-C34 of Ehe Excel sprendsheet. Yaou are that ☆ = is on eigenvector of A. Fiad the associated elgen value. given Let B be the Chae)- matrix displayed in cells A38-D41 of the Exeel sprendsheet. You ave given thet the mumber a displayed in cell Ch3 is an eigenvelse of B. Find a basis for the %3D eigenspece Ea. Is the matrix B from part O diagonalizable? Justify your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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PROBLEM 3 a,b,c. See pictures below. All info provided

Problem 3
O Let A be the (343) - mebrik displayed in cells A32-C34 of the Excel sprenedsheet. You are
that ☆ =
is on eigenvector of A. Fiad the associated eigen value.
given
Let B be the Lhae)- matrix displayed in cells A38-D41 of the Exeel sprendsheet. You ave
given that the number 2 dis played in cell C4B is an eigenvelue of B. Find a basis for the
%3D
eigenspace Ea.
Is the matrix B from part O diagonalizable? Justify your answer.
Transcribed Image Text:Problem 3 O Let A be the (343) - mebrik displayed in cells A32-C34 of the Excel sprenedsheet. You are that ☆ = is on eigenvector of A. Fiad the associated eigen value. given Let B be the Lhae)- matrix displayed in cells A38-D41 of the Exeel sprendsheet. You ave given that the number 2 dis played in cell C4B is an eigenvelue of B. Find a basis for the %3D eigenspace Ea. Is the matrix B from part O diagonalizable? Justify your answer.
A
В
D
30 Matrix A from Problem 3(a) (3x3):
31
32
-8
-10
-10
33
35
37
19
34
2
35
36 Matrix B from Problem 3(b) (4x4):
37
38
2
11
22
39
2
33
66
40
2
4
41
2
42
43 Eigenvalue A of B:
2.
2.
Transcribed Image Text:A В D 30 Matrix A from Problem 3(a) (3x3): 31 32 -8 -10 -10 33 35 37 19 34 2 35 36 Matrix B from Problem 3(b) (4x4): 37 38 2 11 22 39 2 33 66 40 2 4 41 2 42 43 Eigenvalue A of B: 2. 2.
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