Okay, So what we have here is a prepaid for May thinks we're in. We're asked to get its reduced role as you import minutes round. So based from our previous lessons, we need to convert this first with its role. Excellent form. So that means it's drunk and to go further operations to convert it to reduce grow. Actually, for so the industrial accident for has the same operations Withrow excellent form. But that's different. Very here. Yeah. So we say that a matrix is in its reduced erosion and port if it satisfies the requirements first, the first non zero number in the first of all is the number. What second? The second row also starts with the number one, which is further to the right than the leading into the first room for every subsequent room, the number one must be further to the right, so it should look like this. We sure Sambo sister keys they're living and in each row must be the only non zero number it's called, and finally, and in an zeros are placed at the bottom of the matrix. So we can do this by performing syriza elementary row operations, including inter changing wonder with another multiplying one grow bananas zero constant and replacing one drug with one drop plus a constant times another grow. So with this example, we're going to convict this first its role petulant for okay, So first step A What we're going to do now is the trans seldom leaving for efficient off artery by doing all right, buddy is equal toe artery minus 2/3 off are you by doing that? We now have zero one go one zero ready one who and 00 negative to over three and negative 1/3. If you are, don't notice this is already in its role echelon farm. So we are asked to the meat It's Trump and by definition, round is the maximum number off leaner, independent foreign Imitrex, which is equivalent to the number off non zeros in its role, petulant the tricks. So for our example, we have 12 and three rows with non zero element which is rolled. One broke through in the three, therefore our runk history. So we're not done yet since we are asked to get its reduce grow at you, look for so for over next step We want to make zeros in calling toe. Except the entry. A throw one called to good. This we need to sub drop. But he are one from art. Now we have zero one don't. One 00 negative. Five negative one and then 00 Negatives to over three and negative. 1/3 for a step. See, we want to make zeros in column three except the entry A troll toe fall of three. To do this, we need toe divide Are too. We'll make it the fight by doing that, we now have zero one. Oh, one 001 one over. Fine. 00 Negatives to over three and negative 1/3. We're a next step. We are going to send it up. So I do. From what? That we now have zero 10 30 over. Five 001 1/5 and 00 Negative over three. And they get the one over the next. We want to add. Roto won't be played by 2/3 to wrote three. So by doing that, we know how. Zero 10 pretty over five 001 in 1/5. Then 000 negative one Oversight for step if we want the MiG zeros in column four Except the entry a throw pre called before to do these We had raw three multiplied by 301 By doing that, we now have 0100 zero 01 in 1/5, then 000 negative one over. Fight for step G. We want to I proto and what city. And with that we now have cereal. 100 0010 000 Negative 1/5. So far, our find us that we are just going to multiply artery win negative fight. So our reduced Groeschel inform therefore is 01000010 and then 000 one. So this is our final answer with cheese The reduce grow excellent for off the meetings.