Suppose that for some 3 x 3 matrix A, we have -2 (G)--)-0 2 and A A (a) Give one eigenvalue of A -2 (b) Use the fact that 0 must also be an eigenvector to find A 0 -(-) 24 (²) = ?х To enter a vector click on the 3x3 grid of squares below. Next select the exact size you want. Then change the entries in the vector to the entries of your answer. If you need to start over then click on the trash can. ab sin (a) f 8 .Enter as a column vector. an (c) If trace (A) = -2, then what is the multiplicity of the eigenvalue from part (a)? Number P

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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please solve Q2 and Q3

Suppose that for some 3 x 3 matrix A, we have
-2
(-)-()-0
2 and A
A
(a) Give one eigenvalue of A
-2
(b) Use the fact that 0 must also be an eigenvector to find A 0
-(-)
24 (²)
ab
To enter a vector click on the 3x3 grid of squares below. Next select the exact size you want.
Then change the entries in the vector to the entries of your answer. If you need to start over then click on the trash can.
sin (a)
=
?х
f
8
.Enter as a column vector.
an
(c) If trace (A) = -2, then what is the multiplicity of the eigenvalue from part (a)?
Number
P
Transcribed Image Text:Suppose that for some 3 x 3 matrix A, we have -2 (-)-()-0 2 and A A (a) Give one eigenvalue of A -2 (b) Use the fact that 0 must also be an eigenvector to find A 0 -(-) 24 (²) ab To enter a vector click on the 3x3 grid of squares below. Next select the exact size you want. Then change the entries in the vector to the entries of your answer. If you need to start over then click on the trash can. sin (a) = ?х f 8 .Enter as a column vector. an (c) If trace (A) = -2, then what is the multiplicity of the eigenvalue from part (a)? Number P
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