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Let u=123,v=456\mathbf u = \begin{bmatrix} 1 \\ 2 \\3 \end{bmatrix}, \mathbf v = \begin{bmatrix} 4 \\ 5\\6\end{bmatrix} , and b=210 \mathbf b = \begin{bmatrix} 2 \\ 1\\0\end{bmatrix} a. (3 points) Write any three vectors in Span {u,v} \{\mathbf u, \mathbf v \} b. (7 points) Determine if b\mathbf b lies in Span {u,v} \{\mathbf u, \mathbf v \}

You will have 120 minutes to complete the exam. Please track the time you spend submitting your work. The exam consists of two parts: Part I is multiple choices, True or false, and matching questions. You do not need to show your work. For part II, You must show your work to receive credit.

Solve the system of linear equations by setting up and reducing an augmented matrix.x1+x2-2×3=-2 x_1+x_2-2x_3 =-2 x2-x3=-5x_2-x_3 =-5 3×1+2×2-x3=7 3x_1+2x_2-x_3 = 7 You should use the row operations and show all row operations clearly.

pick b

Sometimes atoms gain or lose particles. The loss of which of the following would result in a change of overall electrical charge? (Mark all that apply.)

Which one of the following types of post-transcriptional modification is common in prokaryotes?

Which of the following is an example of a prokaryotic cell?

When sequencing DNA, what occurrence would not cause complications in your final product?

Often, scientists will work with mice that are missing a gene. This is done to determine downstream effects and viability. If a mouse were missing only one gene but lacked the protein production for three different proteins, what would best explain why this happened?