MathAlgebraLinear algebraSystems of linear equations

Row transformations

Reducing matrix

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You are given a matrix: $\left( \begin{array}{ccc} 4 & 2 & 0\\ 1 & 3 & 2\\-1 & 3 & 10\\ \end{array} \right)$ . In what order should the following operations be performed to get this matrix: $\left( \begin{array}{ccc} -4 & 12 & 40\\ 1 & 3 & 2\\ 0 & 7 & 20\\ \end{array} \right)$ ?

Put the items in the correct order

swap the first and third rows

add the first row to the third row

divide the third row by 2

multiply the first row by 4

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