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3 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]3 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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On a recent 160 mile road trip Claires car used 7.75 gallons if gas how many gallons should she expect to use on a 150 mile Road

inna [77]

Ok so,

160 divided by 7.75 = 20.65

therefore,

150 divided by 20.65 = 7.265625 gallons or 7.27 (2 d.p)

5 0

3 years ago

A surveyor sights the far bank of a river at an angle of 110° to the near bank. She then moves 75 feet upriver and sights the sa

Leya [2.2K]

Answer:

Correct answer is 54.82 ft.

Step-by-step explanation:

First of all, let us label the diagram and do the construction as per the attached answer image.

Let us consider $\triangle ABC$ :

$\angle B = 90^\circ\\\angle ACB = 180-110 = 70^\circ$

Let side AB = d ft and let side BC = x ft

We need to find AB to find the shortest distance across the river.

Using trigonometric identity of tangent:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tan 70 = \dfrac{d}{x}\\\Rightarrow x = \dfrac{d}{tan70} = 0.36d ..... (1)$

Now, let us have a look at another right angled triangle ABD:

Let us consider $\triangle ABC$ :

$\angle B = 90^\circ\\\angle ADB = 180-150 = 30^\circ$

side AB = d ft and side BD = x+75 ft

Using trigonometric identity of tangent:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tan 30 = \dfrac{d}{x+75}\\\text{Using equation (1)}:\\0.577 = \dfrac{d}{0.36d+75}\\\Rightarrow 0.207d + 43.27 = d\\\Rightarrow 0.793d = 43.27\\\Rightarrow d \approx 54.82\ ft$

Correct answer is 54.82 ft.

7 0

4 years ago

5x+3x=420 12x+9=1080 What does x and y equal?

Korvikt [17]

Answer:

8x-55818-t

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Write -41.27 as a mixed number.

Salsk061 [2.6K]

Answer:

-41 27/100

Step-by-step explanation:

4 0

3 years ago

A study was conducted of 351 species of mammals worldwide. The

Reptile [31]

Answer:

95/351

Step-by-step explanation:

the first thing you must do is to add 140 and 94 and 22 together

you get 256

then you subtract 351 with 256 and get 95

and then you do this

95/351

8 0

3 years ago