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# 1 AJununa recind paepueis deviationstandaro1 places1...

Question

# 1 AJununa recind paepueis deviationstandaro1 places1

# 1 AJununa recind paepueis deviation standaro 1 places 1



Answers

$\left[ \begin{array}{lll}{1} & {1} & {1} \\ {1} & {2} & {3} \\ {0} & {1} & {1}\end{array}\right]$

Given the probability. Mordor Success 10 2030 and pure Fakes C 0.3 0.5 0.2 on We know they expected value has 19 from exercise one. We need to find the standard deviation. First, we will find the radiance off Brandon. Really? About which is Sigma squared? So radiance of a random variable is the expected value off the square deviation from the mean that is equal. It'll summation X minus mu the whole square into Pio fix. So we have 10 minus 19. No, we're square in 20.3 less, 20 minus 19 square into 0.5 plus 30 minus 19 No well square in 20.2 No. 81 to 0.3 miss 1 to 0.5. Bless 1 21 in 20.2. That is 24.3 plus 0.5 less. 24.2 There was 49. So Sigma squared is 49 sigma to the standard deviation ist seven. Okay, so from excites one BP have the probability mortal us to for 68 and build x 0.3 0.4 little 0.2 and little 0.1. We know music will to expected value. It is 4.2 from exercise one. So we need to find the standard deviation. First will find the radiance Sigma Square. I was waiting until fix that is acquittal Summation X months mute. The whole square into p affects. There is equal to to minus 4.2 the whole square to 0.3 this four minus 4.2 The whole square into 0.4 less. Six minus 4.2 The whole square interest little 0.2 place eight to minus four point to into sue 0.1. What's query? Yeah, this four point 84 in 20.3 Bless. 0.4 interstitial 0.4. Yes. 3.24 into 0.2 less. 14 point 44 in 20.1. That is equal to no good. One point for fight to this 0.16 place to your 0.648 Yes, 1.44 four. Yeah, that is equal to 3.56 Now Sigma is equal toe squared off 3.56 but just 1.89

Okay for this one. We have a is equal to 12 negative. One 011 and zero. Negative 11 So the characteristic equation for this problem is given by negative Lambda Cubed plus three Lambda squared minus four. Lambda plus two is equal to zero. And when we solve this equation, it's a cubic equation. So you will get the three argon values as 11 plus I and one minus. I noticed that these talking visor complex congregants. So now if we have the Lambda equals one, then upon solving the system, eh? Minus I times u equals zero. We will get that use equal t times 100 and for Lambda equals one. Plus I, using a similar process, we end up getting that you sequel to a T times I'm minus two negative I and one no, for Lambda Contra Kit equals one minus I, which is given here. Then that implies that you is equal to it. Turns out that the Egan vectors are also conflicts congregates of each other. So you was simply gonna be equal to a T times negative. I'm minus two guy and one

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

No, it's number last. This house is that excess by Why?


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