Use the two matrices:\(A\) = \(\begin{bmatrix} 3 & 2 &-1 &16…

Use the two matrices:\(A\) = \(\begin{bmatrix} 3 & 2 &-1 &16 & 1 \\ 2 & 2 & -4 & 12 &1 \\ 1 & -1 & 8 & 2 & 0 \\ 1 & 1 & -2 & 6 &1\end{bmatrix}\), \(B\) = \(\begin{bmatrix}1& 0 &3 &4 &0 \\ 0 & 1 & -5 & 2 & 0 \\0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0\end{bmatrix}\) The matrix \(B\) is the reduced row echelon form of \(A\) (you do not have to check this.) Which set of vectors below is a basis for the column space of \(A\)?

Let \(T\colon \mathbb{R}^{2}\to \mathbb{R}^{2}\) denote the…

Let \(T\colon \mathbb{R}^{2}\to \mathbb{R}^{2}\) denote the linear transformation given by counterclockwise rotation about the origin by \(3\pi/4\) (radians).Let \(A\) be the matrix of \(T\) with respect to the standard basis of \(\mathbb{R}^{2}\).  Which of the following matrices is equal to \(A^{2}\)?

Consider the linear system \(\begin{bmatrix} 2 & -3 \\ -6 &…

Consider the linear system \(\begin{bmatrix} 2 & -3 \\ -6 & 9 \\ 4 & -7\end{bmatrix}\begin{bmatrix} x \\ y \end{bmatrix}=\begin{bmatrix} 1 \\ h \\ k\end{bmatrix} \) where \(h\) and \(k\) are real numbers. Which one of the following statements is true  about the solution?

If for some reason you forget to submit your quiz or journal…

If for some reason you forget to submit your quiz or journal that was due, you may be allowed to use a “Late Pass” and make that assignment up. You are allowed to use the Late Pass one time on a quiz or journal. What should you do if you want to use the Late Pass?