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2 years ago

11

I need help!!!!! Jdjshekosixjsjjejfixis

1 answer:

Aleonysh [2.5K]2 years ago

5 0

The pot = 1/2
The cat = 1/4
The pumpkin = 1
The zombie hand = 1/3
Brainliest? :)

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Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are

alexgriva [62]

Answer:

$P=\left(\begin{array}{ccc}-\frac{2}{3}&-\frac{2}{3}&\frac{1}{3}\\\frac{1}{\sqrt{5}}&0&\frac{2}{\sqrt{5}}\\-\frac{4}{3\sqrt{5}}&\frac{\sqrt{5}}{3}&\frac{2}{3\sqrt{5}}\end{array}\right)$

Step-by-step explanation:

It is a result that a matrix $A$ is orthogonally diagonalizable if and only if $A$ is a symmetric matrix. According with the data you provided the matrix should be

$A=\left(\begin{array}{ccc}-9&-4&2\\ -4&-9&2\\2&2&-6\\\end{array}\right)$

We know that its eigenvalues are $\lambda_{1}=-14, \lambda_{2}=-5$ , where $\lambda_{2}=-5$ has multiplicity two.

So if we calculate the corresponding eigenspaces for each eigenvalue we have

$E_{\lambda_{1}=-14}=\langle(-2,-2,1)\rangle$ , $E_{\lambda_{2}=-5}=\langle(1,0,2),(-1,1,0)\rangle.$ .

With this in mind we can form the matrices $P, D$ that diagonalizes the matrix $A$ so.

$P=\left(\begin{array}{ccc}-2&-2&1\\1&0&2\\-1&1&0\\\end{array}\right)$

and

$D=\left(\begin{array}{ccc}-14&0&0\\0&-5&0\\0&0&-5\\\end{array}\right)$

Observe that the rows of $P$ are the eigenvectors corresponding to the eigen values.

Now you only need to normalize each row of $P$ dividing by its norm, as a row vector.

The matrix you have to obtain is the matrix shown below

3 0

3 years ago

7.5% of what is 7.38

Rashid [163]

Turn the percentage into a decimal
7.5%=0.075

.075x=7.38

Divide both sides by .075 to isolate x

x=98.4

3 0

3 years ago

if x is the first, or smallest, of three consecutive integers, express the sum of the integer and the third integer as an algebr

Scrat [10]

Consecutive numbers differ by one. So, if $x$ is the first, the three numbers are

$x,\ x+1,\ x+2$

The sum of the first and third integer is

$x+(x+2)=2x+2$

5 0

3 years ago

2000 people are selected randomly from a certain population and it is found that 389 people in the sample are over 6 feet tall.

Airida [17]

Answer: 0.195

Step-by-step explanation:

given data:

population = 2000 people.

people Who are over 6 feet tall = 389.

Solution:

the point estimate of people over 6feet tall

= no of people over 6 feet tall / total population size

= 389/2000

= 0.195

the point estimate of people over 6 feet tall is 0.195

8 0

2 years ago

When the smaller of two consecutive integers is added to two times the larger, the result is 17. Find the results.

GrogVix [38]

Is it the answer 7 and 2

4 0

2 years ago