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16 87 ~N 4 Lhat 13 mali X, ~ [ Nc) ( 02 (cl 3 41 3 Conesponding 2 eigenlecke eigcwalle...

Question

16 87 ~N 4 Lhat 13 mali X, ~ [ Nc) ( 02 (cl 3 41 3 Conesponding 2 eigenlecke eigcwalle

1 6 87 ~N 4 Lhat 13 mali X, ~ [ Nc) ( 02 (cl 3 41 3 Conesponding 2 eigenlecke eigcwalle



Answers

13. $$\frac{1}{2},-\frac{4}{3}, \frac{9}{4},-\frac{16}{5}, \frac{25}{6}, \dots$$

To find these two matrices together. Here. First thing we need to do is check the dimensions will work. Okay? First matrix we've got is two rows three columns. That's a two by three. The second matrix is a three row one column matrix. These inner two dimensions have to match which they do. That means is a resulting matrix will be dimension the outer dimensions. Okay, So we're gonna have to buy one. Matrix is our answer just two spots here. Okay, we'll fill in the first spot. This is gonna be row one. Column one. Okay, so everything in row one thinks everything in column one negative one times six plus zero times negative four plus seven. Thanks one. Okay, this should give us negative six plus zero plus seven. That should give us a one in that first little spot right there. Okay, The second guy this is gonna be row two column one. Okay, so we're gonna take everything in row two times that same column right there. So three times six less negative five that was negative for plus two times one spent 18 plus 20 plus two should give us 40. Okay? So one in the first row, 40 in the second round, and that is the result of this modification.

We have this flow chart and we have to find the output of this flow chart. So let's start executing this flow chart before we execute each operations. When we want let's try to understand what exactly this flow chart does. It starts with the start command, then we have some operation box. We're in the values of A. And the ceo initialized and then some genius to diseases squired and then added with A. And is in fact doubled over here. And then it checks whether the value of a is still less than eight and when it does it will go ahead and or do these operations once again. So basically we have a loop over here It gets repeated as long as the value of a. is less than eight. once the value of is not less than eight. That is If a is either eight or anything more than eight like 9 then the local stop and it will start printing the value of C. So let's start executing this one x 1. So initially the value of the equal to one & C Equal to two. And when it comes over here the sea is getting updated by squiring the value of C. And then added with eight. So when we square the value of C we get to square is four. And when you add with a that is one we get sequel to fight. So therefore the current value is equal to five. And the next statement we have A is doubled. So equal to a start to, this is basically is getting double Which means this is the initial value of eight and double it will get to. So therefore these are the two values which we have done now. That is equal to five and equal to two. Well then how this decision box which checks whether it is still less than eight, Which is in fact true, that is two is less than eight. Yes. So that means the control will be shifted back to this point which means we are into the next to loop. So in the next two loop, let's write down the current values of AIDS and sees. So is already updated too two and she is now updated to fight. So these are the values that we are going to it place when we place this look. So then once again she's getting updated by squiring the sea and adding with a which means the sea will be square. That is five x squared. So therefore if you do that it will be 25 Plus getting added with a. That is too. So this gives value. See the new value of sequel to 27 And once again is getting doubled. So this is the value of a. That is too when a double two will get a call to four and once again we check whether still If a is to less than eight so is less than eight. Yes this is is therefore the control will be shifted back to the this point which means we are into the next loop. So let's write on the existing values of A. Or the updated values of A. And C. You know that this is the an updated value of we put here And c. is 27 so we put the C over kid And then once again the sea is getting squired and added with a. Which means c equal to 27 Times 27-plus 4. So when it's choir 27 This is equal to 729 plus food Which is equal to 7:33. Therefore the updated value of c equal to 733 and still and then the next statement we held this getting doubled as usual which means this four is getting doubled so therefore equal to eight now. And we have this decision is eight less than eight. No it is not. So therefore the loop will stop over here. It will come out of the loop and it will execute the next statement which means it prints the value of sleep. You know that the greater values equal to 77 33. So therefore at this point the computer will print the value 733 which means this option is correct

In this problem we have given about tricks eight, which is equals room. Pray for four by we need to compute in goes right, dog Millie, Debt Metrics e and I. We get 344 pipes flash 1001 Use reparations to convert. Mattress is less I indoor metrics. I slash eight years by applying our own changes to I do yes, minus one into album. We get one month for five minus 1001 No, By applying, I don't tend. Use to minus four into our island. Yes, Active. Make it Brandy was eagle one slash minus 114 Minus tree. Finally we applied Are one changes minus are too Knows that one big. Get 100 bon slash minus five for full My ministry Since the land last my tricks is in the form Move. I slash Inverse Therefore being girls were beak was too minus 54 or minus tree. Now we verify the answer but showing indoor a inverse is it was dried into demonstrates on a Inglis into it is always weak was right into dimension Find the burdock cough into eating goes we get the resulting matter extractors van 001 It is equals true identity metrics on. By finding the product off a English into a metrics, we get the resulting Mataric status 1001 It is also equals wide under the mattress and the paint result in verse is equals true minus five full or minus tree. It's got a

This video's gonna go through the answer to question number 11 from chapter 9.3. So ask to use real reduction to find the inverse off the matrix. That 11 one 121 Thio three. So So we conform the combination matrix with the identity and they tried refugees. Okay, so if we subtract to you off the top equation from the bomb equation, then we're gonna get zero one that to you, minus 20 Maybe it's gonna be minus 201 on the inside. And if we should bottle subtract one of the first question from the middle equation, that's gonna be zero That's gonna be one on that's going to zero months. Well, on zero on me, the top equation as it is, Savior zero. Okay, so now we get to be a stick in court because on left inside the bomb equation on the middle or after the bottom row of the majors in the middle of the matrix. All the same, which means that the ah, the row is off the matrix linearly dependence, which by their a born in the book, means that er the identity that's all right with me


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