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3 years ago

11

Hello can anyone help me with this one questions?

1 answer:

zysi [14]3 years ago

3 0

Answer: c

Step-by-step explanation:

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An example of a rational number is<br> 0-16<br> ооо

Alex17521 [72]

Answer:

0, 1, 1/2, 22/7, 12345/67, and so on.

Step-by-step explanation:

i just took the test!

4 0

3 years ago

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

4 years ago

3.3+5(-7 + 4)<br><br><br><br>step by step process

SVEN [57.7K]

Answer:

-11.7

Step-by-step explanation:

3.3+5(-7 + 4)

we apply distributive property

3.3+5*(-7) + 5*(4)

we know:

+ * - = -

+ * + = +

so we have:

3.3 -35 + 20

3.3 - 15

-11.7

5 0

3 years ago

Read 2 more answers

156 is 60% of what number

Tanzania [10]

The answer is 93.6
156x .6 = 93.6

8 0

3 years ago

Can anyone pls help me I really need help pls help me I will mark them as brainiest pls!!! Can u do it in a passer and then send

Andreas93 [3]

Answer:

Hi there!

I provided the charts down below. Hope this helps! ;)

8 0

3 years ago