Let A be a 3 x 5 matrix. If dim(null(A))=2, then the dimension of the column space of A isSelect one:a. 3b. 1c. 2d. None of the other choices is correct

The rank of a 4×34×3 matrix is 1, what is the dimension of its null space?

Use the fact that matrices A and B are row-equivalent.A = −2 −5 8 0 −17 1 3 −5 1 5−5 −9 13 7 −671 7 −13 5 −3B = 1 0 1 0 1 0 1 −2 0 30 0 0 1 −50 0 0 0 0(a) Find the rank and nullity of A.rank nullity     (b) Find a basis for the nullspace of A. (c) Find a basis for the row space of A. (d) Find a basis for the column space of A.

What do you know about the dimension of the row space and the column space of a matrix?.Question 6Select one:Dimension of the row space and that of the column space are same always.Dimension of the row space is less than that of the column spaceDimension of the row space is greater than that of the column space.Dimension of the row space and that of the column space are different.

9. The nullity of a 3 × 5 matrix(a) is three(b) can be any number from zero to two(c) can be any number from zero to three(d) can be any number from two to five

Find the dimension of the subspace U = span{[1, 1, 1], [2, 5, 2], [1, 2, 3]}.Select one:a. 1b. none of the other choices is truec. 3d. 2