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3 Find rahk (A) ahd &escs Lor @lumn spate Scla) , Fow spece Sp (A) 4 bel Por nu-ll spaeeA = ~2 L2 - 2...

Question

3 Find rahk (A) ahd &escs Lor @lumn spate Scla) , Fow spece Sp (A) 4 bel Por nu-ll spaeeA = ~2 L2 - 2

3 Find rahk (A) ahd &escs Lor @lumn spate Scla) , Fow spece Sp (A) 4 bel Por nu-ll spaee A = ~2 L2 - 2



Answers

find $\bar{A}, \operatorname{Re}(A), \operatorname{Im}(A), \operatorname{det}(A),$ and $\operatorname{tr}(A)$. $$A=\left[\begin{array}{cc} 4 i & 2-3 i \\ 2+3 i & 1 \end{array}\right]$$

In the fusion given system of equations that is minus two, X plus two, Y plus treated is equal to see x minus Y is equal today and uh by plus four dead is equal to E. Now in the question, it is asking to find the solution of this system by using in words matter. So we have to apply the inverse method for finding the solution. So first, as you see in the kitchen, there are two part given. So in the party it is ended, the metrics of C B is equal to magics of 1312 And first I will find the value, find the fourth party. Then then after I will find the answer for next part that is part B. So for finding the solution first I will write the magic situation that is equal to that is certain is X is equal to be or I can say that X will be equal to a inverse B. Yeah, yeah, he's Yeah. Your X is equal to a north become by after multiplying in was on both sides of this first equation. So then I will get at is X. Is equal to a USB. Okay? No. Yeah, automatic is coefficient of X. Y. It means Mattis will be written as that is record and in the elements are that is minus two. Xy dead. So it means coefficient of x rays yet. So it will be returned has managed to 23 Here I will write one minus one and 00 because the coefficient of jade is zero. And here I've read zero because coefficient of X. Zero for 30 question that is given. And here there is one and yet I relate four. So this is the medics A. And magic's X. Easy metrics of X. Y. And my text. Visi. Matic stop C. D. E. Of value given it is 13 minus two. Now next step is we have to find the inwards of medicine. He so after swallowing I will get the value of medics A. That is equal to where do we set this one divided by three? And in the record the elements out that is minus four minus five. Three minus four minus eight 3120 So this is the value of N words. And now use the equation. Matics equation that is accessible to inwards be so it will be bitterness metrics of X. Y. Is equal to in was in words which I you're right in the U. S. System that is one divided by three and the record the elements are minus four minus 53 minus four minus 83 And this will be this row elements that is 1 to 0. Multiplied by matrix B metrics be studies 13 minus two. No next step is we have to multiply, we have to multiply this both mathematics by using dot product. So after multiplying I will get the elements in the metric studies equal to one divided by three and four first metrics. So the first element by using the dot product. What we have to do is we have to multiply first pro with the column means this first row with this column. So I can say that with the matching elements. So it will region eyes minus four times of one, then minus five times solved three, then three times of minus two. Now for a second element we have to multiply second row with column means this second role and this column with the matching elements. So it will return is minus four times self, one then minus eight times of three and then plus three times off minus two. Now for finding the third element, we have to multiply this third row with the card column, with the colum. Sorry, so means this is the tarot and this is the column with the matching elements. So it is written us, it is one times of one then plus two times off minus sorry to times of three plus zero times of minus two. No simplify this, then I will get the first element that is equal to in the records. The first element will return us minus four minus 15 and minus six then total I will get that is minus 25 then four. Second element I will get that is minus board and uh minus eight times of three will be that is minus 24 and uh three times of monitor will be minus six. So I will get at this totally minus 3 34. And for the third element, the value is one plus six plus zero. I can say that 87. No, we are to make the elements on the both side. So on the both side so you didn't has that asthmatics of Xy jet. Sorry I to I forget to write element that is dead on website in the previous steps. So yeah, also I would like at this chair, so on the left side, the mattresses, that is matrix of xy jerry and it will be equal to one divided by three, Fetisov minus 25 minus 34 7. No mess the elements on both sides. So I can say that actually be equal to one is 25 divided by three and why will be equal to minus 34 divided by three? And Jet will be equal to seven divided by three. So this is the solution of system for part A. Yeah, no for part B. It is given that is that is my takes of C D is equal to C d E is equal to metrics. Elements are that is minus 104 No indication. Again, it is asking to find the solution by using inverse method for part B. So first I will write the same my take situation that is written in part A. So equation is that is X is equal to a inwards big and here we will be become that is metrics of C D E. So here value is given in part way, that is minus 104 and the value of a universes which I also written in party that is is equal to one divided by three minus four elements are in the back of that is minus four minus 53 minus four minus 83 And in the third row that is 1 to 0. So this is a in words now use Dramatics equation. So I can say that on the right side on the left side that is x MS metrics of Xy jet will be equal to in what city means one divided by three. And in the record metrics elements are that is minus four minus 53 In the second row that is minus four minus 83 and in the third row, elements are 1 to 0. This matters is multiplying by participate at is minus four, sorry minus 10 or now for multiplying I will use a dot product. So the elements in the bracket for first element is after multiplying this first pro with the column, then it will return is for it is minus board times of minus one. Yeah, and then minus five times of zero plus three times off four. So this is the first element in the bracket. And uh second element will be written as multiplying second role with the column. So this is the second row and this is the column. So it means I can say that minus four times of oneness one. Here we have to multiply with they're missing elements. So look about the medics and and the operations and the So I can say that second element will be at least minus four times of minus one minus eight times of zero, then plus three times or four. So this is the value for second element and for third environment it will be returns after multiplying car drove with column this column. So I can say that do religion has one minus one plus two times of zero and plus zero times of four. And here outside I will write the one divided by three. So this will become it is matters of X ray, there no simplify this. Then the first element will be equal to on the right side that is one divided by three. And in the back of the first element is here. As you see after scoring this first line, I will get that is minus four minus one means plus four plus four minus zero plus too well, so men's 12 plus four. Main seven story 15. So first element really 16. No. Second element will be after following the second line, that is four plus Well, they would also be 16 and todd element will be in the third road at ease in the third row. First element will be that is minus one plus zero plus zero. So I can see that minus one. Now next trip is matching on both sides so I will get the value of X. Y. That that is X will be equal to 16 divided by three. Why will be equal to 16 divided by three? And jed will be equal to minus one divided by three. So this is the answer. Well, part B means I had saw the system given system for part B and as you say, I had also saw the party. So it means I totally completed the occasion. Thank you.

In this problem, just look at it carefully. BB I too, will react in pageants of BSE here, too. ECU was to give compound Are we change which aid 80 cl here, which it A d c L. Here? So this is white PPT. They said white PPT. Therefore, according to the option option, age, correct and said for this problem, A d c l a will be the white PPT in this problem.

K two Cr awful gives a yellow precipitated it's a yellow policy heated on reaction with on reaction with Be a two plus, as well as B B two plus, therefore, option C and option the uh, correct answer for this problem, Option C and option B. R. Correct answer for this problem.

In this problem, the yellow solution yellow solution, which age I need to see R 04 on reaction will give us yellow PPT and the yellow PPT here. Age B b CR 04. Therefore, according to the option option C. H, correct answer for this problem, Option C. Each correct answer for this problem, I hope you understand the the action of this problem.


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