in-exercises-1-and-2-convert-the-matrix-of-observations-to-meandeviation-form-and-construct-the-sa-2

Question

In Exercises 1 and $2,$ convert the matrix of observations to meandeviation form, and construct the sample covariance matrix.
$$
\left[\begin{array}{cccccc}{1} & {5} & {2} & {6} & {7} & {3} \ {3} & {11} & {6} & {8} & {15} & {11}\end{array}ight]
$$

Gideon Idumah · Accepted Answer

for this question. Given the Matrix 135 11. So 6687 15 to 11 on. We had to write this in me individual form nine This case and it calls to six because we have six columns. So the sample mean the sample Mean m will be given us one over end, which is six. And then you act each of the rules. If you other foster, you have 24. If you add a second, you&#x27;re 54 then this will be 1/4 of four and nine. Now, to get the min division form with subtract came from each column off the metric So gets the mean division form. Division form. Subtract. I am from itch. Cool, Mom, Off X, we had This is X Arjuna metrics where you do that? You off the mean division for will be given us minus three. Minus seeks one so minus two minus three. So you&#x27;re just subtracting one minus four to remind us 95 minus 4 11 minus nine somehow doesn&#x27;t. We&#x27;re just doing You have to minus 136 minus one, sue. So this is the main division form now together. Sample co variance the sample coherence. The sample co variance matrix, which is s will be given us one divided by any miners. Want us six Minor sworn be times be trump transports. That is the mean divisional from when you do this ago off one over five When you multiply Bi, bi, bi trust with you after 20 aids 40 40 90 When you divide the issue of ah, 5.6 aids aids on dhe, then eight scene. So this is the sample cover.

Jack Chen · Answer

Okay, So for this program, we first need to find the meaning Actor. So the mean factory closed, Teoh 1/6 years. We have six columns. Um, so we have just a tool estimation for each row in your own Geno, uh, metrics and divided the some by six. So we have the meaning. Will be 12. 10 and the we use. Um we used each column in union a matrix subject this mean vector. So we have. So we have a new magics, which would, you know, thereby be. And the piece on the following matrix and the co Berra&#x27;s matrix would, you know, bias. We will be won over five returns be transposed. And the by a single calculation he caused to 86 minus 27 minus 27. The 16

Jack Chen · Answer

Okay, so for this problem, part of one we know that X one up to eggs in Hi. In, Um I mean deviation for that means, um X one process x two up to eggs. Then we will be, ah zero vector which is and by 10 Victor Lemmens If we defied of extra top very close to one and by one vector with all with all inches are one We have a magics modification x one x two Exane multiplied by w equals 20 which we secretly into this condition. But this muse p transpose times um, this matrix multiplication because with zero. But by our definition, patrons post times on this metrics will be why one up to y in So basically change the the order off multiplication and that this line means why one upto y in How are also in a media in deviation form. So this is the proof for part one. And for part two, we know that there are coherence. Metrics for X well is defined in this way and the full for why the cover and men covers metrics s why he closed toe one over a minus one. Why times why transpose and by the definition of why, equals two p transposed eggs times teachers, post eggs and the amateurs supposed outside in a barrel off veterans posts. We have X transpose times p and that we we know that X choose post times extents extras post divided by impound and minus one equals two ways. So in the end we have Peter&#x27;s Post Times, Ace&#x27;s Times Peep, which proof the which proofs The second statement.

Harry Evans · Answer

said that the determinant X All we do is minus nine times two Take away six times ever on that is equal to minus nine times two inches minus 18 Ah notionally 600 0. So your determine is minus 18.

Harry Evans · Answer

this, uh, two by two matrix. The determinant X. We can write as six times three take away two times it&#x27;s minus five. So this is 18 minus minus 10 says 18 plus 10 which is equal to 28 which is the determinant of X.

Joanna Quigley · Answer

we&#x27;ve been given a matrix, and we&#x27;ve also been given a row operation to perform to it. And every operation is half right one. So his room and we&#x27;re just going to harbor and leave you peruse untouched. So our new matrix is going to be one minus three two eyes and even worse, going to be soon. So this is the one you matrix.

Problem

Find the principal components of the data for Exe…

Problem 2 Easy Difficulty

In Exercises 1 and $2,$ convert the matrix of observations to meandeviation form, and construct the sample covariance matrix.
$$
\left[\begin{array}{cccccc}{1} & {5} & {2} & {6} & {7} & {3} \\ {3} & {11} & {6} & {8} & {15} & {11}\end{array}\right]
$$

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David C. Lay, Steven R. Lay, Judi J. McDonald

Linear Algebra and Its Applications

Grace H.

Alayna H.

Kayleah T.

Maria G.

Absolute Value - Example 1

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Linear Algebra and Its Applications

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David C. Lay, Steven R. Lay, Judi J. McDonaldLinear Algebra and Its Applications

Grace H.

Alayna H.

Kayleah T.

Maria G.

David C. Lay, Steven R. Lay, Judi J. McDonald

Linear Algebra and Its Applications