## Related questions with answers

Question

Assume that A is a matrix with three rows. Find the elementary matrix E such that E A gives the matrix resulting from A after the given row operation is performed. $R_{3} \Leftrightarrow R_{2}$

Solution

VerifiedStep 1

1 of 2$E=\begin{bmatrix} 1 & 0 & 0 \\ 0 & 0 & 1 \\ 0 & 1 & 0 \end{bmatrix}$

The matrix $E$ is the identity matrix to which the given row operation has been applied, thus interchange the third and second row of the identity matrix.

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