Given m∥n, find the value of x.
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Answer:
The augmented matrix of the system is .
We apply operations rows:
1. We swap row 1 and 2 and obtain the matrix .
2. Of the above matrix we subtract row 1 from row 2 twice (R2 - 2R1) and we subtract row 1 from row 3, 5 times. (R3-5R1). We obtain the matrix
3. Of the above matrix we subtract row 2 from row1 twice (R3 - R2) and multiply the row 1 by -1 (-R2). Weobtain the matrix .
Since each pivote is an one then we conclude that the above matrix is the reduced row-echelon form of the matrix of the system.