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Ees, what is the square root of i, that is, what matrix times itself equals the matrix representing What complex value docs it correspond to?...

Question

Ees, what is the square root of i, that is, what matrix times itself equals the matrix representing What complex value docs it correspond to?

Ees, what is the square root of i, that is, what matrix times itself equals the matrix representing What complex value docs it correspond to?



Answers

Find the square roots of the complex number. $$1-\sqrt{3} i$$

Hello. We have for a number 129. And this is going to find the square roots of a complex number two. I sat astride that equal to to to to. And uh we need to find Find Zadar is to the power one x 2 for that. We should write that in the cinematic form. So this is two and 2 I zero plus zero into it. To I'm sorry I went into it. Yeah. Run into our to. So this is definitely to cause by by two plus are to sign by by two. Now this is the value of the debt. We need to find The value of that is with the power one x 2. So so according to the formula we'll be having that raised to the power one by two equal to to raise to the power one by two. Oh after that this is cause okay one x 2. It is this will become cause Theatre that is by by two plus to keep I by Andrew it is too plus are to sign Bye Bye two plus to get by by two in that case and in desert. So when K equal to zero first route will be equal to To raise to the parliament by two because by by four plus our does sign by before. Okay, So this is under route to caused by by four is one of my route to Plus Arte into signed by by 41 x two. So this is one block Serta This is the first square root when K equal to zero. When K called to one that will be equal to under two of course Engage one. This will be five piper 4 because this will become to buy to fight back before because 55 before plus I owe to sign 554 So rude to caused by place by before plus our design by plus pinafore, so this will be a third quadrant, so to this will simply be minus caused by before, so one barrel to with negative science. Similarly, I. M 21 by two with a negative sign, So that you will be equal to -1 -6. That's quite right, Sir. One placenta and -1 and minus here to thank you.

That we have to find the roofs off a complex number that is equal to one place off gold off three. I oughta know. We know that if we have a complex number given by their physical to a place off the aorta, then it can be really down in the geometric formers are in tow. Course off teda. Bless off. I ordered enough. Thida, odd is given by the daughter. Off is scared. Police off be scared So this will be equals two run scared close off Road three call scare. So this will be close to wrote off for which is equals to two. So we will help our physical due to no two days given by tangent in yourself be divided by a We have basically 03 and days equal to one So this will be close to tangent in worse off road three So it'll be good stew. Bye bye tree as Sid allies in the first quadrant So recon right One place off road three Ira is equals two. We have our physical Toto Soto into course off by about three plus off I ordered a sign by the way three So this is the geometric form off the given complex number. Now we know that the Anith roots off a complex number is given by and it rode off our multiplied by course off three topless Dubai. OK, do I did by and bless off, I owed us Sign off a topless off Dubai Gay do I did bay And so this will be close to we have scared off to and don't course off. Today's by with three. So by by three Bless off Dubai Gay Divided way and is to hear plus off I Oda Sign off. Tita is by by three plus off to take a divided by door. So this will be chemicals to dude off. Do multiplayer by by bless off six Bike Gay Whole divided by a six. Here we have two right angle goes Bless off iota Sign off by plays off six by K. Do I did by six. Now we have to substitute K is equal to zero and one here. So we will have own case substituting the quit order zero wrote off the window course off. Bye bye. Six. Bless off iota sign off by basics. So this will be close to rolled off to indoor rolled off three vital bless off one way to iota, so this will become equals. Toe wrote off six Divided by two Bless Off wrote off to Divided by Go and Don't Iota No own substituting. K is equal to one. We will get wrote off, Go into course off by plus off six play, which will be close to 70 so sound by divided by six plus off, I order Sign off seven by divided Way six and this will be close to rolled off. Joe Endo, multiplied by road off minus Off wrote off three Divided by two minus off one by dough iota and this will become equals toe rolled off. Six divided by two minus off float off two divided by two iota So these two will be the roads off the given complex.

Here we have to find the routes off the complex number. That is the cool stoop to minus off to iota. Now we know that if they are given with these air, physical toe, a place off the aorta, then it can. Religion is their physicals. Took are in due course off Twitter plus off iota. Sign off. Tudo, there are is given by road off a scare Bless off. Be scared Here, is it construido and basic goes to minus off. So this will be caused to so scared plus off minus off to hold scared So this will be called stored off it or we will have our physicals to go Route toe now Today is given by Ben Genting Word self be by Hey So this will be quince toe 10 Genting herself minus off toe divided by toe. Or this will be calls to 10 Genting Worse off minus off one. So we will have two days equals two seven Bye bye for as little eyes in the fourth Cordant So we can write to minus off to Huerta in the Jagna metric form as door rolled off to Endo goes off seven by way four us off I order sane seven baby four Now we have to find the scares off the question. Regan's a complex number so the roads are given by and it roads are given by and it rode off are multiplied by course off data Bless off to buy gay Divided by and bless off Iroda Sign off T'd up plus off to buy gay degraded way And we have art is a construct orderto so we can say that Scared off two Rode off Do multiplied by goes off two days seven by wherefore bless off Bill Baker Divided by an is to hear plus off I ordered a sign Two days so on by before plus off I hope I k hole divided way No This will be close to scared old off Do you road do and don't goes off seven by by plus off it by gay whole divided by made bless off I Oda Sign off seven by plus off eight by gay dueted Way A Here we have to substitute case able to zero and one to find the roads off the given complex number So substituting que ese gualdo zero convivial help rode off Toto and don't goes off seven by bless off eight by Indo Zero Divided by eight plus off I order Sign off 75 plus off eight by Indo Zero divided by eight and this will vehicles to grouped off Cool route to and don't minus off. Zero point nine Do City nine plus off 0.32 It's seven I order and this will be calls to minus off 1.5 53 aid plus off zero point 6436 iota No substituting K is equal to one. We will have rolled off Toto Indoor goes off seven by bless off it by Do I didn't buy it. Bless Off iota sign off seven by bless off it by do I did way eight and this will be equals two wrote off Toto were deployed by zero point nine toe 39 minus off zero point three aid Dole seven iota And this will be close to one point 55 to the aid minus off cedo point 64 36 iota So these two will be the roads for the given complex

Here you have to find the scares off. Complex number. My nasal three iota. No, we know that any complex number even way that is equal to a place off be iota can be read in as that is a coastal are into Goes off Fida, bless off Iota sign Tudor Read our vehicles to he rolled off Is kid plus off? Be scare. Here we have is equal to zero and basic will do minus off three So we will have disagrees toe rolled off nine. Or we will have our is equals to three Also two days given way Pendant inward self be divided by a So this will vehicles to tens it in worse off minus off three divided by zero Now one upon zero is infinity. Therefore data will be equals two undefined So we will have two days equals two three by way as the angle is in the third Cordant No, this can be indigenous. Their days equals two. We have our physical to three. Therefore we will have three into course Off we have three days equals 23 vibrato. So we can right here because three pie weirdo Bless off Hossein three five. So no, we know that no. As we know that any throats are given by the formula and it rode off, uh, multiplied by Goes off three topless off. So by gay divided by and bless off. I ordered a sign three Dobler's off. Don't buy gay do I did by And their case is equal to 0123 of two and minus one. So we will have the root says scare rolled off three were deployed by Goes off We have two days three Piper door so we can write Irritated by where Do bless off? No by gay 200 by on his door Bless off iota sign off three by weirdo Plus off So by k hold divided by cool And this will be called sto He rolled off today Murder played Bay goes off three by plus off four by gay Whole divided by for plus off I order sign three by plus off for by gay Do I did by for now here we have to substitute the value of K as zero and one So we will have by 14 Que is a goal sto zero bend one So we will have wrote off three more deployed by course off three by plus off for by Indo zero who headed by four less off I would just sign three by Bless off Ford by Indo Zero, divided by four. So this will be questo wrote off three indoor minus off done by Roto. Bless off, run by a photo iota. Or this will become a girl's toe minus off wrote six. Do I did by two. Bless Off wrote six. Divided by dough into I order No by self. Jared in K is equal to one. We will have flute three multiplied by course off three by close off Ford. By do I did by four. Bless off. I would just sign three by bless off four by divided by four. No, this will vehicles to the road off. Three multiplied by one guy wrote to minus self when by Roto Iota Or this will be close to sort off. Six. Divided by two minus off the work of six divided by toe iota. So these two will be the scares off the given complex number


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