Answer:
38.8713
Step-by-step explanation:
We have given the a 3×3 matrix
The characteristic equation of the matrix is given by [tex]\lambda ^3-39\lambda ^2+5\lambda =0[/tex]
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 [tex]\lambda ^3-39\lambda ^2+5\lambda =0[/tex] are [tex]\lambda =38.8713\ \lambda =0\ \lambda =0.12863[/tex]
We have to find the larger non zero eigen value
So the larger non zero eigen value will be 38.8713