Finding the Nullspace, Nullity, and Rank of a Matrix In Exercises 37-42, find (a) the nullspace, (b) the nullity, and (c) the rank of the matrix A. Then verify that rank(A) + nullity(A) = n, where n is the number of columns of A. -4 37. A = 12 -9 38. A= [2 39. A -3 -6 -4 = 5 -3 11 7 -6 16
Finding the Nullspace, Nullity, and Rank of a Matrix In Exercises 37-42, find (a) the nullspace, (b) the nullity, and (c) the rank of the matrix A. Then verify that rank(A) + nullity(A) = n, where n is the number of columns of A. -4 37. A = 12 -9 38. A= [2 39. A -3 -6 -4 = 5 -3 11 7 -6 16
Chapter7: Matrices And Determinants
Section7.2: Operations With Matrices
Problem 4E
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