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3 years ago

5

Find the value or values of c that satisfy the equation f(b) - f(a) b - a

1 answer:

jonny [76]3 years ago

4 0

<span>f(b) - f(a)=b - a=2-1=1</span>

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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

Brittany's car gets 31 miles per gallon. Brittany's car used 24 gallons of gas on a round trip to see the ocean. How far away fr

shutvik [7]

Answer:

372 miles

Step-by-step explanation:

The appropriate relation is ...

miles = (miles/gallon) × gallons

distance = (31 mi/gal)×(24 gal) = 744 mi

Brittany drove 744 miles to see the ocean. Since this was her round trip distance, the one-way distance is ...

744 mi/2 = 372 miles

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3 years ago

Tamara has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00. budgets $29.50 per month for total cell

natima [27]

The answer is the letter A! I hope this helps

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3 years ago

Bas_tet [7]

Answer:

Okay so,

Step-by-step explanation:

the first one is

1.25 or 1 $\frac{1}{4}$

second one is

0.5 or $\frac{1}{2}$

the third one is

i'm not sure what the question is

the fourth one is

i'm not sure what the question is. Are you dividing?

the fifth one is

153.18

the sixth one is

1010.25

the seventh one is

4.066362

the eight one is

i'm not sure what the question is

Can you make me brainliest please

6 0

2 years ago

Read 2 more answers

Whatis 11 -2+8 divied by 6

wel

Answer:

31 over 3

Step-by-step explanation:

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3 years ago

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