00:01
Hi, now we are going to determine the given system is consistent or not.
00:05
Now here the given system is x2 -4x3 is equal to 8, 2x1 -3x2 plus 2x3 is equal to 1, 5x1 -8x2 plus 7x3 is equal to 1.
00:24
So, first we have to write the argumented matrix ab and this will be equal to 0, 1, minus 4, 8, 2, minus 3, 2, 1, 5, minus 8, 7, 1 and next we have to do the operation r2 interchange with r1 then this matrix will be equivalent to 2, minus 3, 2, 1, 0, 1, minus 4, 8, 5, minus 8, 7, 1 and next we have to do r1 as r1 divide by 2 then the matrix will be equivalent to 1, minus 3 divide by 2, 1, 1 divide by 2, 0, 1, minus 4, 8, 5, minus 8, 7, 1 and next we have to do r3 as r3 minus 5 times of r1 then the matrix will be equivalent to 1, minus 3 divide by 2, 1, 1 divide by 2, 0, 1, minus 4, 8, 0, minus 1 divide by 2, 2, minus 3 divide by 2 and next we have to do r3 as r3 plus r2 divide by 2 then the matrix will be equivalent to 1, minus 3 divide by 2, 1, 1 divide by 2, 0, 1, minus 4, 8, 0, 0, 0, 5 divide by 2...