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Natali5045456 [20]

2 years ago

7

4) What type of sequence is shown: 1, 2, 4, 7, 10,...

1 answer:

KIM [24]2 years ago

4 0

Answer:

Stohr sequence

Step-by-step explanation:

Let a_1=1 and define a_(n+1) to be the least integer greater than a_n which cannot be written as the sum of at most h>=2 addends among the terms a_1, a_2, ..., a_n. This defines the h-Stöhr sequence

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Please help me fast this question

romanna [79]

Answer:

64÷16+[12x{16÷(16-10)}]

64÷16+[12x{16÷6}]

64÷16+[12x2.66666666667]

64÷16+32

4+32

36

3 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

3 years ago

What is a factor pair of 48 that adds up to 2?

dangina [55]

-6×8=-48

-6+8=2
Hope this helps have a good day!! ;)

4 0

3 years ago

For the question, calculate the slope of a line that passes through the points given. Remember to reduce all fractions to lowest

Afina-wow [57]

Answer:

the answer is 2 or 2/1 hope this helps

3 0

2 years ago

Read 2 more answers

Find 2× - 2y + 5z - 2x - y + 3z

natka813 [3]

<span>-3y+8z your welcome:)</span>

4 0

3 years ago