00:01
Okay, so what we have here is a 3x4 matrix wherein we're asked to find its raw echelon form and to determine its round.
00:08
So if we are to review our lessons, a matrix is in a row echelon form if it satisfies the following condition.
00:15
First, the first element on the first row should be a non -zero.
00:19
Second, each non -zero leading entry on the next rows should be to the right of the leading entry in the previous row.
00:26
So it should look like this resembling a staircase.
00:30
In third, rows with all zero elements, if any, are below rows having a non -zero element.
00:35
So we can do this by performing a series of operations, including re -scaling a row, adding a multiple of one row to the other row, and swapping two rows.
00:47
So for this example, what we want to do first is to cancel the leading coefficient of r2.
00:55
So we do this by performing r2 minus one half of r1.
01:03
By doing that, we now have 2, negative 1, 3, 4, 0, negative 3 over 2, negative 1 1⁄2, negative 1⁄2, 1, negative 5, and 05 .5...