Question

Consider the following matrix A and its reduced row-echelon form: Find the dimensions of row(A), null(A),...

Consider the following matrix A and its reduced row-echelon form:

Find the dimensions of row(A), null(A), and col(A), and give a basis for each of them.

A= ( < 0, 0, 0,1 > , < 0, 0, 0, 3 >, < 3, 0, -3, -2> , < 6, 0, -6, -9 > , < -3, -5, 13 , -2 >, <-6, -10, 26, -8 > )

rref = ( < 1, 0 ,0, 0 >, < 3, 0, 0, 0 >, < 0, 1, 0, 0 >, < -5, 2, 0, 0 >, < 0, 0, 1, 0 >, < -4, 0, 2, 0 > )

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