1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
egoroff_w [7]
3 years ago
13

Find the augmented matrix for each of the following systems of linear equations. (a) x₂ - 2x2 = 0 (6) x + x₃ = 1 .3x₂ + 4x2 = -1

- x₂ + 2x2x₃ = 3. 2x, - x₂ = 3 0 (c) x₂ + x3 =1 (d) x₂ = 1 2x₂ - x3 + x₂=2 X₂=2 2x3 + x4 = 3
Mathematics
2 answers:
Y_Kistochka [10]3 years ago
6 0

Answer:

The augmented matrix for each set of linear equations is:

a) x_1-2x_2=0\\3x_1+4x_2=-1\\2x_1-x_2=3

Augmented matrix:

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

b) x_1+x_3=1\\-x_1+2x_2-x_3=3

Augmented matrix:

\left[\begin{array}{cccc}1&0&1&1\\-1&2&-1&3\end{array}\right]

c) x_1+x_3=1\\2x_2-x_3+x_5=2\\2x_3+x_4=3

Augmented matrix:

\left[\begin{array}{cccccc}1&0&1&0&0&1\\0&2&-1&0&1&2\\0&0&2&1&0&3\end{array}\right]

d) x_1=1\\x_2=2

Augmented matrix:

\left[\begin{array}{ccc}1&0&1\\0&1&2\end{array}\right]

Step-by-step explanation:

In order to find the augmented matrix, you have to take the numeric values of each variable and make a matrix with them. For example, in the linear system a) you can make a matrix out of the numeric values accompanying x_1 and x_2, this matrix will be:  

\left[\begin{array}{cc}1&-2\\3&4\\2&-1\end{array}\right]

Then you have to make a vector with the constants in the linear equations, for the case of system a) the vector will be:  

\left[\begin{array}{c}0&-1&3\end{array}\right]

To construct the augmented matrix, you append those matrices together and create a new one:

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

ikadub [295]3 years ago
5 0

Answer:

the answer is C

Step-by-step explanation:

i just did the assignment on  edge2020

You might be interested in
Stacy uses 6 cups of sugar to make 120 brownies how many cups of sugar will she use to make 360 brownies?
oksian1 [2.3K]

Answer:

18 cups of sugar

Step-by-step explanation:

Step 1:

120 ÷  6 = 20

Step 2:

360 ÷ 20

Answer:

18

Hope This Helps :)

8 0
3 years ago
Read 2 more answers
Simplify please help
aleksandr82 [10.1K]

Answer:

4√10xy/32y is the answer. (I think)

5 0
2 years ago
Write the number using scientific notation: <br> 23,000
saw5 [17]
The scientific notation is 2.3 x 10^3
4 0
3 years ago
Write the sentence as an inequality. A number x is less than 7 and greater than 3
scZoUnD [109]

Answer:

7>x>3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How to distribute like terms
Elza [17]
Alright, for 10, let's see 2(x+3). Use the distributive property to multiply 2 with x, which is 2x. Then, multiply 2 with 3, which is 6. Add them together to get 2x+6. For the second part, 4 times x is 4x and 4 times negative 2 is -8. Add them all up and you get 2x+6+4x-8=6x-2. Remember that you can't add a variable with other variables/just numbers, and a minus sign in front of terms in parenthesis means that everything in the parenthesis is negative!
4 0
3 years ago
Other questions:
  • you roll a blue number cube and a green number cube. find P ( a number less than 2 on the blue vube and odd number on the green
    15·2 answers
  • It takes one super giant pizza to feed three people if you invite 36 people how many peaches will you need
    13·1 answer
  • Index laws for zeros. Can anyone help me?
    12·1 answer
  • Solve log812 = x – 2 . Round your answer to four decimal places.
    12·2 answers
  • Chef Selena is making her special dish that requires pasta, sauce, and onions.
    15·1 answer
  • Cecily is comparing two checking accounts. Checking account A has a monthly fee of $16 and a per-check fee of $0.08, while check
    5·1 answer
  • What is the value of f(3) in the function below?
    14·2 answers
  • Factorise m2 - 10m + 24 =0
    6·2 answers
  • 100 POINTS!<br> help please <br><br> which is the graph of f(x) = 3 square root x/4
    6·1 answer
  • When we use a least-squares line to predict y values for x values beyond the range of x values found in the data, are we extrapo
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!