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(Solved): 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, ...



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



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