Mathematics - Vectors and Matrices
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is an eigen vector of
| A | = |
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one of the eigen values of A is
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Sum of the eigen values of the matrix A is
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the Largest eigen value is
- Option : D
- Explanation : Now
1-λ 1 1 1 1-λ 1 1 1 1-λ =0
⇒ 3-λ 3-λ 3-λ 1 1-λ 1 1 1 1-λ = 0 ⇒ 3-λ 1 1 1 1 1-λ 1 1 1 1-λ = 0 ⇒ 3-λ 1 0 0 1 -λ 1 1 0 λ = 0 Hence eigen values are 0,0,3
24. Corresponding to highest eigen value the eigenvector is
- Option : C
- Explanation : Repeating above procedure, we get successively
It follows that the largest eigen value is 4 and corresponding eigenvector is
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