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vekshin1
3 years ago
7

Which graph best represents the solution to the following system -3x + y< 1

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0

Answer:

Step-by-step explanation:

2^45

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In general, the eigenvalues of a diagonal matrix are given by the entries on the diagonal. Verify this for 2 × 2 and 3 × 3 matri
egoroff_w [7]

Eigenvalues:

Eigenvalues of a matrix A are all the values of π for the following equation:

d = det (πI-A) = 0

For a 2x2 diagonal matrix:

Let A =\left[\begin{array}{ccc}a1&0\\0&a2\\\end{array}\right] \\and\\I=\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]

\pi I-A=\left[\begin{array}{ccc}\pi-a1&0\\0&\pi-a2\\\end{array}\right] \\

Now,

d = det (πI-A)

π1-a1=0 and π2-a2=0

a1=π1 and a2=π2

Hence proved that the eigenvalues of a diagonal matrix are given by the entries on the diagonal.

For a 3x3 diagonal matrix:

Let A =\left[\begin{array}{ccc}a1&0&0\\0&a2&0\\0&0&a3\end{array}\right] \\and\\I=\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]

\pi I-A=\left[\begin{array}{ccc}\pi-a1&0&0\\0&\pi-a2\\0&0&\pi-a3\end{array}\right] \\

Now,

d = det (πI-A)

π1-a1=0  ;  π2-a2=0  ;  π3-a3=0  

a1=π1   ;   a2=π2   ;   a3=π3

Hence proved that the eigenvalues of a diagonal matrix are given by the entries on the diagonal.

7 0
3 years ago
Is everyone answering so we can ask more questions lol
kolbaska11 [484]

Answer: yes  

Step-by-step explanation:

Lol

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2 years ago
Find the difference. Write in simplest form.7/8-2/8=
Phantasy [73]
Simple, all you want to do is subtract. 7-2=5; and denominators are not subtracted thus it would be 5/8. And that is the simplest form already 5/8.
7 0
3 years ago
Armory ate 1/4 of a box of cereal. Blaine ate 2/9 of the same box. What fraction of the box did they eat together
user100 [1]

1/4 + 2/9 = 17/36

Hope this helps you

Brainliest would be appreciated!

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5 0
3 years ago
Read 2 more answers
Is 12/17 equivalent to 10/15 in ratio form
serg [7]

Answer: yes

Step-by-step explanation: Joshua

5 0
2 years ago
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