Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Stuck on your homework problem? This step-by-step video should help.

Try Numerade Free for 30 Days

Like

Report

[M] A Landsat image with three spectral components was made of Homestead Air Force Base in Florida (after the base was hit by Hurricane Andrew in 1992 ). The covariance matrix of the data is shown below. Find the first principal component of the data, and compute the percentage of the total variance that is contained in this component.$$S=\left[\begin{array}{rrr}{164.12} & {32.73} & {81.04} \\ {32.73} & {539.44} & {249.13} \\ {81.04} & {249.13} & {189.11}\end{array}\right]$$

75.8956$\%$

Algebra

Chapter 7

Symmetric Matrices and Quadratic Forms

Section 5

Applications to Image Processing and Statistics

Introduction to Matrices

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

05:36

$[\mathbf{M}]$ The covaria…

07:33

a. Calculate the covarianc…

06:28

Consider the accompanying …

02:53

Given multivariate data $\…

13:55

Let $X(t)=A t+B,$ where $A…

07:08

Let $X$ be the number of m…

18:13

a. Construct a scatter dia…

04:18

Use VOTEl for this exercis…

04:14

The given values represent…

07:11

(a) Use the properties of …

Okay, So for this proper, we just import this cover and cover as metrics into calculator eso. It gives us three Aiken values Lambda y in close to 677 point for a 971 in the Lambda. When Lambda three follows Salam, DeWine is the largest again value. The corresponding Eigen vector will be the principal components of ey in close to 0.12 Nice six zero point a 744 and it's the appointment. 4675 So for these components, the present age off the total Berries are contend in this component will be I'm the one over on the one process. I'm that two problem the three. So it's about 75.90 present off there is

View More Answers From This Book

Find Another Textbook

In mathematics, the absolute value or modulus |x| of a real number x is its …

$[\mathbf{M}]$ The covariance matrix below was obtained from a Land-sat imag…

a. Calculate the covariance of the set of data $(20,10),(30,50),(60,30),(80,…

Consider the accompanying observations on stream flow (thousands of acre-fee…

Given multivariate data $\mathbf{X}_{1}, \ldots, \mathbf{X}_{N}$ (in $\mathb…

Let $X(t)=A t+B,$ where $A$ and $B$ are independent random variables with $A…

Let $X$ be the number of material anomalies occurring in a particular region…

a. Construct a scatter diagram of the following bivariate data.$$\begin{…

Use VOTEl for this exercise.(i) Estimate a model with voteA as the depen…

The given values represent data for a sample. Find the variance and the stan…

(a) Use the properties of covariance to show that $\operatorname{Cov}(a X+b,…

02:11

Show that a set $\left\{\mathbf{v}_{1}, \ldots, \mathbf{v}_{p}\right\}$ in $…

03:23

Show that if $B$ is $m \times n,$ then $B^{T} B$ is positive semidefinite; a…

01:08

The sample covariance matrix is a generalization of a formula for the varian…

02:12

Suppose $\mathbf{y}$ is orthogonal to $\mathbf{u}$ and $\mathbf{v} .$ Show t…

03:28

Use the inner product axioms and other results of this section to verify the…

01:55

Let $X$ be the design matrix in Example 2 corresponding to a least-squares f…

01:58

In Exercises $1-6,$ determine if the set of points is affinely dependent. (S…

04:27

Use only the definition of affine dependence to show that an indexed set $\l…

01:46

Let $A=\left[\begin{array}{rr}{2} & {1} \\ {-3} & {-4} \\ {3} & …

Find an orthogonal basis for the column space of each matrix in Exercises $9…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.