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2 years ago

What is the dimension of the null space Null (A) of A =

Mathematics

1 answer:

KatRina [158]2 years ago

6 0

Answer:

the nullity of a matrix A is the demision of its null space:nullity A = dim (n(A).

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Need help will mark brainiest thank you

Nadusha1986 [10]

a. 1^5 = 1 × 1 × 1 × 1 × 1 = 1

b. 2 × 2 × 2 × 2 × 2 = 2^5 = 32

c. 20^3 = 20 × 20 × 20 = 8.000

d. 7 × 7 × 7 × 7 = 7^4 = 2.401

6 0

2 years ago

The solutions to the inequality y > - 3x + 2

bonufazy [111]

not enough information to solve it as there are two unknowns in one inequality

4 0

2 years ago

corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. which quantity depends on the other?

lana66690 [7]

Complete Question:

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. Which quantity depends on the other?

A. The distance traveled depends on the number of hours traveled.

B. The number of hours traveled depends on the speed of the train.

C. The speed of the train depends on the distance traveled.

D. The speed of the train depends on the number of hours traveled.

Answer:

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. The distance traveled depends on the number of hours traveled

Step-by-step explanation:

As we know the velocity can de defined as the rate of change of position of objects in a particular time. The formula is given by,

$\text {velocity}=\frac{\text {distance}}{\text {time}}$

Here, in the question, rate of speed of train is given as 45 miles per hour. if we keep the velocity as constant one, then distance is directly proportionate to the travelled time

$\text {distance}=\text {velocity} \times \text {time}$

If 'v' is constant,

$\text {distance} \propto \text {time}$

By this we can conclude that, the distance travelled by the train depends on the time taken to travel to it. Hence option A would be the correct one.

3 0

2 years ago

Find the sum of the convergent series. (round your answer to four decimal places. ) [infinity] (sin(9))n n = 1

Alexus [3.1K]

The sum of the convergent series $\sum_{n=1}^{\infty}~(sin(1))^n$ is 5.31

For given question,

We have been given a series $\sum_{n=1}^{\infty}~(sin(1))^n$

$\sum_{n=1}^{\infty}~(sin(1))^n=sin(1)+(sin(1))^2+...+(sin(1))^n$

We need to find the sum of given convergent series.

Given series is a geometric series with ratio r = sin(1)

The first term of the given geometric series is $a_1=sin(1)$

So, the sum is,

= $\frac{a_1}{1-r}$

= sin(1) / [1 - sin(1)]

This means, the series converges to sin(1) / [1 - sin(1)]

$\sum_{n=1}^{\infty}~(sin(1))^n$

= $\frac{sin(1)}{1-sin(1)}$

= $\frac{0.8415}{1-0.8415}$

= $\frac{0.8415}{0.1585}$

= 5.31

Therefore, the sum of the convergent series $\sum_{n=1}^{\infty}~(sin(1))^n$ is 5.31

Learn more about the convergent series here:

brainly.com/question/15415793

#SPJ4

7 0

1 year ago

These triangles are similar Find the value of x

Grace [21]

Answer:

C. 4

Step-by-step explanation:

This is just a common ratio. These two triangles are alike, just that one is smaller than the other. You can see that one of the sides of the big traingle is 10. The same side of the smaller triangle is 5. That means the big traingle's side is twice as big as the small circle's.

10 divided by 5= 2

If the big triangle's side got divided by 2 to get the smaller triangle's side. So, that means the other side of the big triangle, 8 is twice as big as the side on the smaller triangle, x.

8 divided by 2= x

8 divided by 2= 4, so x= 4.

This is the ratio:

8:10 to x:5

As you can see the 10 got divided by 2 to get the 5. So 8 must also get divided by 2, which equals 4.

6 0

2 years ago

What is the dimension of the null space Null (A) of A = ​

What is the dimension of the null space Null (A) of A =