327,405 views
7 votes
7 votes
I need help on this I really don’t understand how to get to the answer

I need help on this I really don’t understand how to get to the answer-example-1
User Carter Cobb
by
3.1k points

1 Answer

15 votes
15 votes

Given:


\begin{bmatrix}{1} & {2} & 3 & {6} \\ {1} & {1} & 1 & {-2} \\ {0} & {2} & 1 & {5} \\ {} & {} & {} & {}\end{bmatrix}

Required:


\text{We need to use the given operation }-R_1+R_2\rightarrow R_2.

Step-by-step explanation:


\text{We know that }R_1\text{ represents the first row and }R_2\text{ represents the second row.}


-R_1+R_2\rightarrow R_2\text{ means the second row of the matrix can be found by subtracting first row from second row.}


\begin{bmatrix}{1} & {2} & 3 & {6} \\ {1-1} & {1-2} & 1-3 & {-2-6} \\ {0} & {2} & 1 & {5} \\ {} & {} & {} & {}\end{bmatrix}


\begin{bmatrix}{1} & {2} & 3 & {6} \\ {0} & {-1} & -2 & {-8} \\ {0} & {2} & 1 & {5} \\ {} & {} & {} & {}\end{bmatrix}

Final answer:


\begin{bmatrix}{1} & {2} & 3 & {6} \\ {0} & {-1} & -2 & {-8} \\ {0} & {2} & 1 & {5} \\ {} & {} & {} & {}\end{bmatrix}

User Leatrice
by
3.1k points