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Pcint Let~i[:Dellnetthe Iinear transtommatlon 7bYTG)Find = vactor > whoge Image uncer Tihe vecton unlque? Col unioiz...

Question

Pcint Let~i[:Dellnetthe Iinear transtommatlon 7bYTG)Find = vactor > whoge Image uncer Tihe vecton unlque? Col unioiz

pcint Let ~i[: Dellnetthe Iinear transtommatlon 7 bYTG) Find = vactor > whoge Image uncer T ihe vecton unlque? Col unioiz



Answers

Given: $\angle \mathrm{M} \approx \angle \mathrm{S}$ $$ \begin{array}{l} \mathrm{MP}=8 \\ \mathrm{PR}=6 \\ \mathrm{SP}=7 \end{array} $$ Find: PO (IMAGE CAN'T COPY)

All right. Center to calm proof. Let's and let's go drawl environmental again this for our statements. And I recently. Okay, So if I was given a more given that see equals e um, and similarly angle CF i eco's angle. Mitch, this is given. We also know that angle f ch equals angle FBI. This by the assassin strangle, um And from that, you know that triangles cf I and triangles. Uh, Hft, I can do it. And this is by the angle side angle, conjecture and therefore the area of triangle CF. I must be congruent to the area of Triangle E Savage. Um and this is by the area postural. We have completed the proof.

Question number 19. Yeah. Well given the day don't make this which is uh we see the it is doing that be coming out to see well and they had to give him that. Maybe you can do six disable 2 weeks equal to nine. And to find how much dependency. So we experimental serious urgency and will be and then they be oh it's going to angle S. C. D. An angle he be is come down to anger. Mm. Didn't she? This is because our internet. So my daughter now they have a story for this money hungry. Uh I'm good. It was in A A. E. And Kendall A cd 302nd going to each other. So for the triangle will be similar so strangle A. B. E. A similar triangle. Be able to no clear angle to solder the received the president inside going down. You can see why may be referred to C. D. By. Mhm. I'm going to see the report we need to see by. Mhm. So city The nine and 2. This is good, too. 982%. Ah What makes it says it was just about to. So there is one God. So saving lives. Right? This is the answer. Thank you.

Okay, we're going to find the derivative of a vector value function R of T. So looking across it looks like all of our derivatives are going to be pretty nice. So we'll find the derivative of each component separately. So we have a six I and then a negative 14 T in the J direction, and then a three T squared in our K.

In this example, we have a two by two matrix A and what we're going to do with this matrix is to find the falling transformation. It'll go from our to to our to and be defined by t of a vector X will equal eight times X. Well, given this particular transformation, let's suppose we define vectors you to be equal to one negative three and V to be equal to a B. Then if we take tee times, you This will be equal to eight times you. But our matrix A could be written in an interesting way. Notice that we just have to along the main diagonal and that allows us to write a s two times I where I is the identity matrix. This means that when we evaluate t of you were taking a which is two times I and multiplying it by the vector you then I times you gives us just you back. So we have two times you Let's make a substitution for the value of you. It is one negative three. So we found that the image of you under the transformation T is to and negative six. Now, what about for the Vector V, where it's written a more abstract form. It just has arbitrary elements. A and B. If we calculate TV will have a which is two times I times V, which is then twice V. And this could be written us twice a B and place of E. So we get to times a and two times be notice. That's effectively what we did when we calculated t at you. Since this was the original vector you and evaluating T at you gave us this vector, which is the same as doubling all entries like we saw in the blue solution.


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