In Exercises 13– perform each matrix row operation and write the new matrix.
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- Can a matrix with zeros on the diagonal have an inverse? If so, find an example. If not, prove why not. For simplicity, assume a 22 matrix.arrow_forwardIn Exercises 20-23, solve the given matrix equation for X. Simplify your answers as much as possible. (In the words of Albert Einstein, Everything should be made as simple as possible, but not simpler.) Assume that all matrices are invertible. (A1X)1=A(B2A)1arrow_forwardUse an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.arrow_forward
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