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counting number of matrices in finite field

I am new to sage and I want to count the number of matrices per rank in a given finite field.

Example: M=matrix([[x1, x2, x_3],[ x4,-x1, x5],[x6,x7,x8]]) in Z/3Z

counting number of matrices in finite field

I am new to sage and I want to count the number of matrices per rank in a given finite field.

Example: M=matrix([[x1, x2, x_3],[ x3],[ x4,-x1, x5],[x6,x7,x8]]) in Z/3Z Z/3Z