00:01
Given in the question, we have equation x1 -x2 plus 4x3 is equal to 5, 2x1 plus 3x2 minus 3x3 is equal to 7, x1 plus 2x2 plus 3x3 is equal to 8.
00:26
So, a part is a x is equal to b.
00:31
This simple is.
00:32
From the equations, we can write the matrix 1, minus 1, 4, 2, 3, minus 3, 1, 2, 3 and b is nothing but the matrix of solution 5, 7, 8.
00:49
So here we are going to perform the row operation r2 to r2 minus 2r1 and r3 to r3 minus r1.
01:05
So this implies we will get matrix 1, minus 1, 4, 0, 4, minus 7, 0, 3, minus 1.
01:17
Next we are going to perform the column operation c2 tends to c2 plus c1 and c3 tends to c3 minus 4c1.
01:30
So we will get the matrix 1, 0, 0, 0, 4, minus 7, 0, 3, minus 1.
01:39
Again we are performing the row operation that is exchanging, interchanging the row 2 to row 3, row 2 and row 3...