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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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Which equation represents the standard form of the equation y= (x + 3)² - 4?
lilavasa [31]

Answer:

The answer is B. y = x^2 + 6x + 5

Step-by-step explanation:

Because y = (x + 3)^2 - 4 = x^2 + 6x + 9 - 4 = x^2 + 6x + 5

So the answer in this question is B.

4 0
2 years ago
Which number line shows the solution to this compound inequality?
serious [3.7K]

Answer:

The explanation is on top x=10

3 0
3 years ago
A bus traveled on a level road for 4 hours at an average speed of 20 miles per hour faster than it traveled on a winding road. T
Kruka [31]

To solve this problem, we must recall that the formula for velocity assuming linear motion:

v = d / t

Where,

v = velocity

d = distance

t = time

 

For condition 1: bus travelling on a level road

v1 = d1 / t1

<span>(v2 + 20) = (449 – d2) / 4                        --->1</span>

 

For condition 2: bus travelling on a winding road

v2 = d2 / t2

<span>v2 = d2 / 5                                            --->2</span>

 

Combining equations 1 and 2:

(d2 / 5) + 20 = (449 – d2) / 4

0.8 d2 + 80 = 449 – d2

1.8 d2 = 369

d2 = 205 miles

 

Using equation 2, find for v2:

v2 = 205 / 5

v2 = 41 mph

 

Since v1 = v2 + 20

v1 = 41 + 20

v1 = 61 mph

 

Therefore <span>the average speed on the level road is 61 mph.</span>

4 0
4 years ago
9) $36,500 at 2% compounded
arsen [322]

Answer: I think it is B

Step-by-step explanation:

Sry if wrong pls don’t be mad

8 0
3 years ago
Please help, due soon. Use the information provided to write the standard form equation of each circle
lyudmila [28]

Answer:

The answer is D

Step-by-step explanation:

the standard equation for circle is (x -h)² +(y -k)² = r² which h is the x coordinate, k is the y coordinate, r is radius. In this case, both x coordinate and y coordinate are 0, so the left side of the equation is x² + y², since the radius is √249, the r² is 249. So the equation is x² + y² = 249, and the answer is D.

Hope this will help❤️

6 0
3 years ago
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