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

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 0s everywhere except on the two diagonals where it has 1s. Find the rank and nullity of the following X-matrices. (a) 101 010 101 (b) 10001 01010 00100 01010 10001 (c) the X-matrix of size (2n + 1) (2n + 1)

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