If a 3x3 matrix m has characteristic equation 1lambda^3 -39lambda^2 + 5lambda = 0. what is the value of the larger non-zero eigenvalue of m? it is not required to know m exactly. give your answer to 3 decimal places

38.8713

Step-by-step explanation:

We have given the a 3×3 matrix

The characteristic equation of the matrix is given by

This is the property of the characteristic equation that the root of the the characteristic equation are the eigen value of the matrix

The roots of the equation   are

We have to find the larger non zero eigen value

So the larger non zero eigen value will be 38.8713

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