Question
Asked Nov 5, 2019
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Find the eigenvalues and number of independent eigenvectors.  (Hint:  1 is an eigenvalue.)

-7 4
O
-8 5 0
-8 8-3
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-7 4 O -8 5 0 -8 8-3

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Expert Answer

Step 1

Consider given matrix as,

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-7 4 0 A 8 5 0 -8 8 -3

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Step 2

To find eigen values of the matrix, calculate following equation,

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\A-2I=0 1 0 0 -7 4 0 020 1 0 0 -8 5 -3 0 1 -8 8 -7-A 4 5 2 -8 0 0 -3-2 -8 (-7-A)(5-2)(-3-2)-4(-8(-3- 2))=' (7+2)(5-2)(3+A)-32(3 +2) = 0 (3+A)(35-71+52-2-32)= 0 (3+2)(2+22-3)-0 (3+2) (2-1)-0 _

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Step 3

Then eigen valu...

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2 1,-3, 3

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