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

Mean-deviation matrix: $B = \left[ \begin{array} { c c c c c c } { - 3 } & { 1 } & { - 2 } & { 2 } & { 3 } & { - 1 } \\ { - 6 } & { 2 } & { - 3 } & { - 1 } & { 6 } & { 2 } \end{array} \right]$Sample comminner matrix: $S = \left[ \begin{array} { c c } { 5.6 } & { 8 } \\ { 8 } & { 18 } \end{array} \right]$

Algebra

Chapter 7

Symmetric Matrices and Quadratic Forms

Section 5

Applications to Image Processing and Statistics

Introduction to Matrices

McMaster University

Harvey Mudd College

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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'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're just subtracting one minus four to remind us 95 minus 4 11 minus nine somehow doesn't. We'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.

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