Given the following matrix \(A\) and its rref, find bases for \(\text{row}\left(A\right), \text{col}\left(A\right),\) and \(\text{null}\left(A\right)\). Also, state the rank and nullity of \(A\). \ \

“It is emphatically the province and duty of the judicial department to say what the law is.” – Chief Justice John Marshal, Marbury v. Madison (1803)   How does this statement relate to the function of the judicial branch and its place within our three-branch system of government?  If we did not have an independent, impartial judicial branch, who might be responsible for saying what the law is, and why might that be problematic?  (3 points)

To preserve the democratic principles of checks and balances, courts can only decide questions of law if

Which statement is true of cells?

Which is true of non-polar molecules?

Which part of a phospholipid would be attracted to Ca2+?

A court order for a convicted criminal to repay stolen money is an example of

In Miranda v. Arizona, the Supreme Court ruled that suspects 

Determine whether the set \(\left\{ \begin{bmatrix}2\\1 \\1\end{bmatrix}, \begin{bmatrix}1\\-1 \\4\end{bmatrix}, \begin{bmatrix}0\\2 \\3\end{bmatrix}\right\}\) forms a basis for \(\mathbb{R}^3\).

Let \(f\) be the transformation of \(\mathbb{R}^{2}\) given by rotating \(70^{\circ}\) counterclockwise around the origin. Find the standard matrix for \(f\) and then use that to find where the point \(\left(4,4\right)\) gets sent under this rotation. (As \(70^{\circ}\) is not a special angle, you will have to use decimal approximations.)