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

Find a basis for the solution space of the following system, and give its dimension. \  

According to one study, in Pennsylvania, black defendants on trial for murder were 40 percent more likely to receive the death penalty than whites convicted of similar crimes. This indicates that __________.

Determine the coordinates of the indicated point on the graph.Point I

Someone would have a right to see a search warrant when

Would the enzyme in the diagram be able to catalyze a reaction between the reactants?  Explain your answer. 

Which of the following are pivot joints?

Match the letter with the appropriate bone marking. A

Simplify. Write the answer with positive exponents.(-4x)0 – 4×0

“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)