10. Using the insights in 8: obtain a matrix P such that if A is any matrix with 3 columns, AP is a cyclic shift of the columns of A (namely the first column of A is the second column of AP, second column of A is the third column of AP, and the third column of A becomes the first column of AP). 11. Using the insight in 9: obtain P such that if A is any matrix with 3 rows, PA is a cyclic shift of the rows (cyclic as explained in 10.) 10. Using the insights in 8: obtain a matrix P such that if A is any matrix with 3 columns, AP is a cyclic shift of the columns of A (namely the first column of A is the second column of AP, second column of A is the third column of AP, and the third column of A becomes the first column of AP). 11. Using the insight in 9: obtain P such that if A is any matrix with 3 rows, PA is a cyclic shift of the rows (cyclic as explained in 10.)