Problem 20. Find the rank and nullity of the matrix
A=[[1,2,3,4,6],[3,1,2,4,-2],[1,-1,0,-2,-1],[2,3,5,-3,8],[1,1,2,4,2]]
and verify Formula of Dimension Theorem for Matrices, that is,
rank(-A)+ nucullity (-4)=n
Where
n
is the number of columns in
A
.Problem 20. Find the rank and nullity of the matrix A = 2 66664 1 2 3 4 6 3 1 2 4 ????2 1 ????1 0 ????2 ????1 2 3 5 ????3 8 1 1 2 4 2 3 77775 and verify Formula of Dimension Theorem for Matrices, that is, rank (A) + nullity (A) = n; where n is the number of columns