For the purpose of this exercise, let us define an X-matrix to be a square matrix with

Chapter 4, Problem 10

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For the purpose of this exercise, let us define an X-matrix to be a square matrix with an odd number of rows and columns that has 0's everywhere except on the two diagonals where it has 1's. Find the rank and nullity of the following X-matrices. (a) (b) (c) the X-matrix of size

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