A 3 x 3 matrix has elements such that its trace is 11 and its determinant is 36. the largest eigen value if the matrix is
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Given A 3 x 3 matrix has elements such that its trace is 11 and its determinant is 36. the largest eigen value if the matrix is
- So let a1 a2 and a3 be the three eigen values.
- So a1 a2 a3 = 36
- So trace = 11
- So we have a1 + a2 + a3 = 11
- Now 6 36
- 3 6
- 2 2
- 1
- So a1 = 6, a2 = 3 and a3 = 2
- Alos a1 + a2 + a3 = 6 + 3 + 2
- = 11
- Therefore the largest eigen value of matrix is 6
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