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Andrei [34K]
2 years ago
12

If A is a 3×3 singular matrix such that λ1=1−i is an eigenvalue of A, then the other eigenvalues of A are 0,1+i

Mathematics
1 answer:
astra-53 [7]2 years ago
5 0

Answer:

1 + i

Step-by-step explanation:

Given that A is a 3 * 3 singular matrix

one of its eigenvalue ( λ1 ) = 1 - i

Given that the determinant of a singular matrix is = 0

therefore the second eigen value ( λ2 ) = 1 + i

1 - i + 1 + i  = 0

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Caroline bakes brownies to give to her friends. She starts with 48 brownies and gives a brownie to 6 friends each hour until she
Dmitrij [34]

Answer: The  below figure shows the graph of the given situation.

Step-by-step explanation:

Since, at first Caroline has brownies= 48

And, according to the question, it is decreasing by 6 per hour.

Then, the function of the given situation can be written as,

f(x)=48 - 6 x,     ------ (1)

where,  x is the number of hours and f(x) is the number of brownies Caroline has left in x hour.

Thus by substitution x= 0,1,2,3,4,5,6,7,8 in equation (1),

We get, f(x)=48, 42, 36, 30, 24, 18, 12, 6, 0

So, the function has points, (0, 48), (1, 42), (2, 36), (3, 30), (4, 24), (5,18 ),(6,12 ) (7, 6) (8, 0).

With help of the above points we can draw the graph of the given situation.

Note: since at x=8, f(x)=0 therefore after 8 hours she has no brownies left.


8 0
3 years ago
Read 2 more answers
What is the midpoint of a line segment with the endpoints (-4, -3) and (7, -5)
Katyanochek1 [597]
Midpoint Formula: (\frac{x+x}{2},\frac{y+y}{2})
Midpoint = (\frac {-4+7}{2},\frac {-3-5}{2})
Midpoint = (\frac {3}{2},\frac {-8}{2})
Midpoint = (\frac {3}{2}, -4)
So, the midpoint of the endpoints (-4,-3) and (7,-5) is (\frac {3}{2}, -4).
Have a nice day! ♪
4 0
3 years ago
Read 2 more answers
36/49 = 5/n find n. will mark for whoever answers
Crazy boy [7]

Answer:

  n = 245/36

Step-by-step explanation:

Usually, these are solved in 2 steps:

  1. eliminate fractions by multiplying by the LCM of the denominators
  2. divide by the coefficient of the variable.

Doing that, we have ...

  (49n)(36/49) = (49n)(5/n)

  36n = 49·5 = 245 . . . . . simplify

  n = 245/36 . . . . . divide by the coefficient of n

_____

Another way to do these is to rewrite the proportion with both sides inverted:

  49/36 = n/5

Now, all you need to do is multiply by 5.

  n = 5(49/36) = 245/36

__

Or, you can do both of the original steps at the same time:

  (49n/36)(36/49) = (49n/36)(5/n)

  n = (49·5)/36 = 245/36

5 0
3 years ago
Reflect figure E across the x-axis and then reflect across the y-axis. What is the resulting figure?
Andreas93 [3]

Answer:

2nd option, rectangle B

Step-by-step explanation:

After reflexion, the figure will be at the left side of x=-5

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3 years ago
Rotate the point 603 degrees to within 10 degrees
swat32
Can you show a picture of it
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