00:02
In this question, we are asked to solve the system of equations with a given augmented matrix.
00:08
And we need to reduce this matrix to the row reduced echelon form.
00:13
And to do that, we need to multiply the second, the last row by two and add it to the third row.
00:19
To get rid of this negative two.
00:22
And what we are going to get at the result, we will rewrite the first row.
00:28
Well, we will rewrite the first two rows.
00:37
In the third row we are going to get 0, 0.
00:43
Now 1 times 2, minus 2 is going to be 0.
00:49
4 times 2 is 8, 8 plus 3 is 11.
00:54
And we will rewrite the last row.
01:02
Note that the matrix has a pivot position in every column, sorry, in every row, in every row.
01:21
The last pivot is not in the last column, which means that the system of equations has solutions.
01:29
Now in our case it has a unique solution.
01:36
Now what we're going to do next is we will multiply the third row by 3 and add it to the second row to get rid of this negative 3...