Write a 2 page essay on Jordan Normal form.If N is nilpotent, then I+N is also nilpotent, and by extension, so should I-N, where En is a n*n identity matrix. This only applies whenever I is a n*n iden

Write a 2 page essay on Jordan Normal form.

If N is nilpotent, then I+N is also nilpotent, and by extension, so should I-N, where En is a n*n identity matrix. This only applies whenever I is a n*n identity matrix, but where we have En(obtained as a result of multiplying a n*n matrix say A by its transpose (At), i.e En=A*At), the resultant matrix is an invertible matrix. Take for instance the matrix A and B in problem 4, B is the transpose of A. Let En