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2 years ago

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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Order the following numbers from greatest to least. 4.44444444(4.4 repeating),13/3,√20, 19/4

Leya [2.2K]

Answer:

i think its D

Step-by-step explanation:

19/4 = 4.75

√20 = 4.47213595

13/3 = 4.3 ( reapeating )

7 0

2 years ago

An article claims that 12% of trees are infested by a bark beetle. A random sample of 1,000 trees were tested for traces of the

inna [77]

Answer: 0.6812

Step-by-step explanation:

Let p be the population proportion of trees are infested by a bark beetle.

As per given: p= 12%= 0.12

Sample size : n= 1000

Number of trees affected in sample = 1000

Sample proportion of trees are infested by a bark beetle. = $\hat{p}=\dfrac{127}{1000}=0.127$

Now, the z-test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

So, $z=\dfrac{0.127-0.12}{\sqrt{\dfrac{0.12\times 0.88}{1000}}}$

$z=\dfrac{0.007}{\sqrt{\dfrac{0.1056}{1000}}}\\\\\\=\dfrac{0.007}{\sqrt{0.0001056}}\\\\\\=\dfrac{0.007}{0.010276}\approx0.6812$

Hence, the value of the z-test statistic = 0.6812 .

7 0

3 years ago

Train A departs from Point A with a velocity of 100 km/h, Train B departs from Point B with a velocity of 200 km/h, and the dist

Bad White [126]

It would take 4 hours for both trains to meet.

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let t represent the time at which both trains meet, and d represent the distance covered by train A, hence:

For train A:

100 = d / t

t = d/100

For train B:

200 = (1200 - d) / t

t = (1200 - d) / 200

d/100 = (1200 - d)/200

2d = 1200 - d

3d = 1200

d = 400 km

t = 400 / 100 = 4 hours

It would take 4 hours for both trains to meet.

Find out more at: brainly.com/question/22610586

8 0

2 years ago

Draw 2 squares. The first one should have an area of 12 square units.The second one should have an area that is DOUBLE that of t

statuscvo [17]

Step-by-step explanation:

Given the information:

1st square: 12 square units
2nd square: DOUBLE that of the first square = 2*12 = 24 square units

From that, we can determine the length of the side in each square:

1/ $x^{2} = 12$

<=> x = 2 $\sqrt{3}$

2/ $a^{2} = 24$

<=> a = 2 $\sqrt{6}$

Please have a look at the attached photo.

Hope it will find you well.

6 0

2 years ago

Which expressions is equivalent ?

agasfer [191]

<h3>3 Answers: Choice C, Choice D, Choice F</h3>

What these expressions have in common is that their exponents multiply to 16

(-4)*(-4) = 16 for choice C
(-2)*(-8) = 16 for choice D
8*2 = 16 for choice F

The rule used here is (a^b)^c = a^(b*c). We multiply the exponents and keep the base the same.

7 0

3 years ago