Question

A 3 x 3 matrix A is multiplied from the left with an elementary matrix $E_i$. The multiplication causes $R_2$ of A to be replaced by $R_2 + 3R_3$. Which of the following matrices is $E_i$? $\begin{array}{rcl} A. E_4 &=& \begin{bmatrix}1 & 0 & 0\\0 & 1 & 0\\0 & 1 & 3\end{bmatrix}\\\B. E_3 &=& \begin{bmatrix}1 & 0 & 0\\0 & 3 & 1\\0 & 0 & 1\end{bmatrix}\\\C. E_1 &=& \begin{bmatrix}1 & 0 & 0\\0 & 3 & 0\\0 & 0 & 1\end{bmatrix}\\\D. E_2 &=& \begin{bmatrix}1 & 0 & 0\\0 & 1 & 3\\0 & 0 & 1\end{bmatrix}\end{array}$

          A 3 x 3 matrix A is multiplied from the left with an elementary matrix $E_i$. The multiplication causes $R_2$ of A to be replaced by $R_2 + 3R_3$. Which of the following matrices is $E_i$?
$\begin{array}{rcl}
A. E_4 &=& \begin{bmatrix}1 & 0 & 0\\0 & 1 & 0\\0 & 1 & 3\end{bmatrix}\\\B. E_3 &=& \begin{bmatrix}1 & 0 & 0\\0 & 3 & 1\\0 & 0 & 1\end{bmatrix}\\\C. E_1 &=& \begin{bmatrix}1 & 0 & 0\\0 & 3 & 0\\0 & 0 & 1\end{bmatrix}\\\D. E_2 &=& \begin{bmatrix}1 & 0 & 0\\0 & 1 & 3\\0 & 0 & 1\end{bmatrix}\end{array}$

A 3 x 3 matrix A is multiplied from the left with an elementary matrix Ei. The multiplication causes R2 of A to be replaced by R2 + 3R3. Which of the following matrices is Ei?
A. E4 =
< b m a t r i x >

. E3 =
< b m a t r i x >

. E1 =
< b m a t r i x >

. E2 =
< b m a t r i x >

Added by Alfredo R.

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