The left nullspace of a matrix is the set of all vectors such that T Find the left nullspace of the matrix in Problem 3.10. Find the nullspace of T. Prove that if is an matrix, the left...

The left nullspace of a matrix
is the set of all vectors
such that

^T

Find the left nullspace of the matrix

in Problem 3.10.

Find the nullspace of

^T.

Prove that if

is an

matrix, the left nullspace of

is equal to the nullspace of

^T

Problem 3.10

This problem deals with the very important concept of matrix range.

The range of an

matrix
is set of all vectors

as

varies through all vectors in

ⁿ

Describe the range in terms of the rows or columns of

How would you find a basis for the range of

Find a basis for the range of the matrix