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Consider the grids below:(Yo Yo). (17) (127) (.W) (Y)Construct the divided difference table of these nodes_ What is the highest possible difference formula in the t...

Question

Consider the grids below:(Yo Yo). (17) (127) (.W) (Y)Construct the divided difference table of these nodes_ What is the highest possible difference formula in the table?a) 0 First order difference b) @ Fourth order difference Third order difference d) 0 Second order difference Not possible to decide about it Bos birak

Consider the grids below: (Yo Yo). (17) (127) (.W) (Y) Construct the divided difference table of these nodes_ What is the highest possible difference formula in the table? a) 0 First order difference b) @ Fourth order difference Third order difference d) 0 Second order difference Not possible to decide about it Bos birak



Answers

List the ordered pairs in the relations on $\{1,2,3\}$ corresponding to these matrices (where the rows and columns correspond to the integers listed in increasing order).
a) $\left[\begin{array}{lll}{1} & {0} & {1} \\ {0} & {1} & {0} \\ {1} & {0} & {1}\end{array}\right]$
b) $\left[\begin{array}{lll}{0} & {1} & {0} \\ {0} & {1} & {0} \\ {0} & {1} & {0}\end{array}\right]$
c) $\left[\begin{array}{lll}{1} & {1} & {1} \\ {1} & {0} & {1} \\ {1} & {1} & {1}\end{array}\right]$

Okay, So suppose that are is a relation defined on a equals while a sub one ace up to up to a sev n then are can be represented by the matrix M sabar, which is equal to the matrix here. M sub y j where the, um, entry m sub y j from the I throw and Jay's column is equal to one If a side by a sub J is an element off our in the relation Here are, um and M c I j is equal to zero If the A se by a sub J is not an element of art. So I suppose that our relations are, um, on a it goes 1234 Ace of one equals one case of two equals to 83 equals 384 equals four. Then we have our matrix here, um, Sabar equal to this given metrics now because our consists of those ordered pairs is about it's a J with, um m c I j equals one. It follows that our relation here are is going to be equal to well, the set, consisting of these points of 11 want to 14 21 23 32 33 34 Um, for one 43 and for four. Right. Um, now, um, part B. We have our matrix am sabar equities metrics. Here we have 1110 zero 100 00111 001 Okay, so now we're on. Uh, be so because our consists again of the ordered pairs a sub a sub j where the emcee by a sub Jake was one. It follows that our our is now equal to the set consisting off 11 12 13 to to 33 Listen. 34 41 The enforce work. He all right and last leave apart. See, we have the matrix m sub r is equal to matrix 01011 0100101 Whoops. One 010 Um, again, Um, because our consists of the order pairs essay by a sub J where the m so by J equals the one it now follows that R is equal to the set. 12 14 21 23 32 34 41 and 43 All right. Books. That is correct, right? There is our sense. Take care

So from a to D, the shortest path is a C D. The love is a go to six or made to have shot is to path. It's a to C to d you have with this one on. The laugh is you go to 11 sit. We can't find why I shot this. The path is C to D you have which is equal to eight. Don't be. You see one of the shortest path it's beautifui you t o G to see and the laugh is they go to 15.

This problem asks us to give three ordered pairs from the lists given, so we need to know what an ordered pair is. And that's just course pieces of corresponding information ordered in this way. So this being the first category of information, this being the second category of information, Um, in this case, it's gonna be ex. And why so X and y that means that, um, from this list, if we wanted an ex of three than we have to go across here. Look at this. Corresponding a piece of information that why value is equal to three. So when X is equal to three, y is equal to three. When X is equal, the negative five. Why is equal to negative 21? Ah, you can pretty much pair of all of these just in parentheses like this, and that can be your answer. Just pig three. Say these three and list them off. And there's your answer.

Uh, we're supposed to use the temple that is provided in the prison. I'm just going to show the information on the table. The information is one, too. 345 and then they giving Thames to Tim's on the white. This is X. This is why. So what corresponds with you on this wife watch responses to is eight and then the next one off course, because it's in our genetic sequence that the moon the Difference Commons or eight manners have 348 blustery. It's 11 11 blustery. It's, uh, for two fortune plus treats event in. So those are the orders is remaining but off the base rather. And then the next question sees, um, what do you not his about the points on your graph? I don't know what else you're seeing, but what I'm realizing here. If the eggs of value is odd, no, why is also on and nice


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