WeBWorK Standalone Renderer

Consider the matrix $\left[\begin{array}{cccc} 1 &-6 &5 &-2\cr 2 &-2 &5 &6\cr 2 &-6 &1 &-6 \end{array}\right]$ .

(a) On the matrix above, perform the row operation $-6 R_{1} + R_{3} \to R_{3}$ . The new matrix is:

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(b) On the original matrix, perform the row operation $3 R_{3} \to R_{3}$ . The new matrix is:

$\left[\Rule{0pt}{3.6em}{0pt}\right.$ $\left]\Rule{0pt}{3.6em}{0pt}\right.$

(c) On the original matrix, perform the row operation $R_{2} \leftrightarrow R_{3}$ . The new matrix is:

$\left[\Rule{0pt}{3.6em}{0pt}\right.$ $\left]\Rule{0pt}{3.6em}{0pt}\right.$

You can earn partial credit on this problem.