(Worth 10 points total) Let the linear transformation \(L:\m…
(Worth 10 points total) Let the linear transformation \(L:\mathbb{R}^2\rightarrow \mathbb{R}^2\) be defined by \(L\left(\begin{bmatrix} x_1\\x_2 \end{bmatrix}\right) = \begin{bmatrix}x_2 \\ 2x_2 + x_1\end{bmatrix}\) Part A) Find the matrix representing \(L\) with respect to the standard basis \(\left\{\vec{e}_1 = \begin{bmatrix} 1\\0 \end{bmatrix},\vec{e}_2=\begin{bmatrix} 0\\1 \end{bmatrix} \right\}\) for \(\mathbb{R}^2\). Part B) Find the matrix representing \(L\) with respect to the following basis for \(\mathbb{R}^2\) (for both the input and output vectors): \(\vec{v}_1 = \begin{bmatrix} 1\\-1 \end{bmatrix}\quad \quad \vec{v}_2 = \begin{bmatrix} 0\\2 \end{bmatrix}\) (If your final answer involves a matrix product, you may leave your answer as a product without actually multiplying them together.) Write your final answers in the text box below. Your full work will be submitted to Gradescope as soon as you submit on Canvas.
Read DetailsGive the order in which antigen recognition by T cells occur…
Give the order in which antigen recognition by T cells occurs. (5points) Antigen fragments bind MHC. Antigen fragment in MHC is displayed on cell surface. MHC-peptide complex is transported to cell surface. Pathogen is taken in by, or infects, a host cell. Encounter with specific T-cell triggers immune response. Host cell enzymes make fragments from the antigen
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