All categories

2 years ago

Construct an augmented matrix for this linear system: x − y − 4z = 5 2x + 2z = 0 4x + y + z = 3.

SAT

1 answer:

mariarad [96]2 years ago

6 0

The augmented matrix for the linear system is constructed as

$\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right]$ $5\\0\\3\\$

The augmented matrix for the linear system of equation is used to represent equations in a matrix form and used to perform certain operations in the row of the given matrix.

The system of equation have 3 variables and we can represent it using a 3by3 matrix system.

The system of linear equation are

$x-y-4z=5\\2x+2z=0\\4x+y+z=3$

With the equation above, we can proceed to construct the augmented matrix for this linear system

$\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right]$ = $5\\0\\3\\$

The first equation is represented in the first horizontal row, the second and third equation are represented in the second and third rows respectively.

Learn more about augmented matrix here

brainly.com/question/11392945

brainly.com/question/10921509

You might be interested in

the height of a bottle rocket, in meters, is given by the function s(t)=−9t2+103t+403. find the average velocity of the bottle r

zaharov [31]

The average velocity of the bottle rocket are two given time intervals is 30 m/s and 20 m/s respectively, while the instantaneous velocity at 4.5 seconds is 22 m/s.

The given parameters;

s(t) = -9t² + 103t + 403
time interval (4.499, 4.5), and (4.5, 4.501)

The average velocity of the bottle rocket over the intervals is calculated as follows;

when the interval = [4.499, 4.5]

$s(4.499)= -9(4.499)^2 + 103(4.499) + 403 = 684.22 \ m\\\\s(4.5) = -9(4.5)^2 + 103(4.5) + 403 = 684.25 \ m$

$v = \frac{\Delta \ s}{\Delta \ t} = \frac{684.25 - 684.22}{4.5 - 4.499} = 30 \ m/s$

when the interval = [4.5, 4.501]

$s(4.5) = -9(4.5)^2 + 103(4.5) + 403 = 684.25 \ m\\\\s(4.501) = -9(4.501)^2 + 103(4.501) + 403 =684.27 \ m\\\\v= \frac{684.27 - 684.25}{4.501-4.5} \\\\v = 20 \ m/s$

The instantaneous velocity of the bottle rocket at time t=4.5;

$v = \frac{d \ s(t)}{dt} = -18t + 103\\\\v(4.5) = -18(4.5) + 103\\\\v(4.5) = 22 \ m/s$

Thus, the average velocity of the bottle rocket are two given time intervals is 30 m/s and 20 m/s respectively, while the instantaneous velocity at 4.5 seconds is 22 m/s.

Learn more here: brainly.com/question/25009886

7 0

2 years ago

The price of a house has many variables in determining the price. One of the variables is

gulaghasi [49]

Answer:

¿Por qué los historiadores han dividido la historia en etapas?

Explanation:

7 0

3 years ago

Complete the sentence. firewalls have rules that only allow certain files to be accessed by users within the .

koban [17]

Answer:network

Explanation: I got it right

6 0

2 years ago

Mr. Ellis deposited $3700 into a savings account for which interest is compounded quarterly at a rate of 1. 84%. How much intere

attashe74 [19]

Answer:

2.84%

Explanation:

after 6 years

4 0

2 years ago

All of the following are effective countermeasures of fatigue except:

FinnZ [79.3K]

All of the following are effective countermeasures of fatigue except: D. Allowing your eyes to lose focus.

<h3>What is a countermeasure?</h3>

This is the term that helps to describe something that helps a person to fight against another thing. The counter measure is usually what is taken in order to prevent something from happening or occurring.

Here fatigue has to do with the fact that a person is tired, worn out and they need to rest well in order to continue functioning properly in the chores or the tasks that they are known to indulge in.

When a person is tired they would have issues with their eyes enabling them to focus on what they are doing.

Read more on fatigue here: brainly.com/question/12564121

#SPJ1

8 0

2 years ago