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Engineering Mathematics Miscellaneous
  1. The number of linearly independent eigenvectors of matrix
    A =
    2
    0
    1
    		is ____
    020
    003
    1. λ = 2, 2, 3
    2. λ = 2, 3, 3
    3. λ = 2, 3, 2
    4. λ = 3, 2, 3
Correct Option: A

Consider A - λI =
2 - λ
1
0
02 - λ0
003 - λ

∴ characteristics equation is | A - λI |
λ = 2, 2, 3
There are only two linearly independent eigen vectors.


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