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
Put this equation in slope intercept form: 3x - 2y = -6
VashaNatasha [74]

Answer:

Y= 3/2x+3

Step-by-step explanation:

Hopefully this helps if so please mark as brainliest

8 0
3 years ago
Mick paid 2.94 in sales tax on an item that cost $42.00 before tax.at that rate how much would he pay in sales tax for an item t
Soloha48 [4]
0ne dollars and forty- seven cents
4 0
3 years ago
Which expression has a value of 12?<br> A. 3+32<br> B. 32 +23<br> C. (4+2)2<br> D. 42-32
alekssr [168]
The answer is C because if you multiply 4 and 2 by 2 it would become 8 and 4, 8+4=12
4 0
3 years ago
Which expressions are equivalent to −90−60w?
Kipish [7]

Answer:

a, b and e

Step-by-step explanation:

Basically using distrabutive property the options distrabute to give the current expression due to signs.

4 0
3 years ago
Sasha is making custom designs using these small trapezoidal prisms. She wants To cover each of the eight prisms in her current
mr_godi [17]

Answer:

the answer is 3040 and does

3 0
2 years ago
Other questions:
  • What is the Answer please help me I will appreciate some one please thank you
    15·2 answers
  • What fractions can be equivalent to - -1/-2
    5·1 answer
  • Convert the Cartesian equation 2 xy = 1 in polar equation form.
    7·1 answer
  • The graph compares the weights in pounds of 100 dogs and cats that are brought in to a veterinarian's office. Select from the dr
    11·2 answers
  • The number of birds this year in the city of L.A. has increased by 15%. Last year there were 405,000 birds. How many birds are t
    7·1 answer
  • Ms salazar car average 25 miles per gallon of gasoline she filled the 10 gallon tank with gasoline before traveling 200 miles
    14·1 answer
  • When the function f(x) = 4(2)x is changed to f(x) = 4(2)x − 13, what is the effect? (5 points)
    12·1 answer
  • WILL GIVE BRAINLIEST PLZ HURRY
    5·1 answer
  • Which statement about the function f(x)=x^2-x-2-20​
    13·1 answer
  • What trigonometric expression can be used to find the value of x? Replace a and b with the correct values.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!