We need to find the change of basis metrics from B to C. So first we need to equates a fair specter of basis. Be the cheese to negative by zero on. Find the victor that has three components C one c two C three that converts the or the basis see to be so Here we have C one supplied by fair Spektr on one plus c two 20 one plus c three 013 So here your cheeks. Why, I said. And then X is a call to see one by, except the first victor see to my way the first x of the second victor and similarly for the third victor. So we have a system of equations. Three equations see one thus to see to close to two negative C one plus C three, because to negative fine. I see one plus C two plus three seats. Three is close to zero. Here, you can just use one of thes a different color. So you have C three close to C one plus C minus five and then replace C three. Come over here, or we can also use because in elimination and documented metrics to solve it. It's ah, just a Z self aversion to solve. So we'll find. See one close to four C to close to 91 c three because to unit one on the first Pictoris for a 1 81 So this was the first factor you need to, right? The other one. Jeez, the second Muktar reaches 305 and same s. We did see one by one and round one plus C two Choose your one C three video 13 So should not leave you right. This isn't questions for the second victor se see Juan Plus to see to close to three, then the for why he writes native see one plus c three because +20 on lastly, see one plus c two plus three c three these because to fight here we can use C three because to see one So it's very simple. You just replace, uh here and then we have system of questions off two equations so it's easy to solve on you'll find C one c two c three to be one one I want So the second victor would be what is wrong now we need to write the third victor on Equated to the other basis. See? So we have h needed to maybe nine. It goes to I see one bye bye. One the good one plus C two by 20 born plus c three 013 And we write this stuff equations Your I see one plus to see to because to age And if you want. Plus, C three is, of course, a negative, too. See one plus C two plus freeze C three It's close Winning nine and yeah, smart before C three Coster Negative too. Plus you wan on, we can replace it here and we will have this itself. A question to a question So four c one c two C three to recall so they have to by on and maybe four. So the fares victor will be native to five and negative four. So these vectors we have weakened three vectors these to about here each are one Colin off the metrics were looking for. So the final, um, answer which is the change of basis metrics from B to c. R. A. T you b two c is a call to on three columns that we had for native want born one on one and then to by negative for and this is the right now.