For example, we are given any n x n matrix A and we want to calculate its Eigen values and eigen vectors. Then, we must have non-zero vector x such that Ax=λx, where λ is an Eigen value and x is eigen vector. When we solve this equation, we get values of λ and x.
Note that corresponding to each Eigen value, we have one Eigen vector.
I have explained the process of how to solve equation Ax=λx with example in the files present below. Please go through the files for better understanding.
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