We will define a checkerboard matrix to be a square matrix A = (aj), where if i + j is even if i + jis odd aij 8.1 Write out the 5x5 checkerboard matrix. 8.2 Find the basis for the nullspace of A, and the nullity and rank of A. 8.3 What will be the rank and nullity of the 19x19 checkerboard matrix?

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