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
artcher [175]
3 years ago
10

Solve the system of equations by transforming a matrix representing the system of equation into reduced row echelon form.

Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0

Take the augmented matrix,

\left[\begin{array}{ccc|c}2&1&-3&-20\\1&2&1&-3\\1&-1&5&19\end{array}\right]

Swap the row 1 and row 2:

\left[\begin{array}{ccc|c}1&2&1&-3\\2&1&-3&-20\\1&-1&5&19\end{array}\right]

Add -2(row 1) to row 2, and -1(row 1) to row 3:

\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&-3&4&22\end{array}\right]

Add -1(row 2) to row 3:

\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&9&36\end{array}\right]

Multiply through row 3 by 1/9:

\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&1&4\end{array}\right]

Add 5(row 3) to row 2:

\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&0&6\\0&0&1&4\end{array}\right]

Multiply through row 2 by -1/3:

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

Add -2(row 2) and -1(row 3) to row 1:

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

So we have \boxed{x=-3,y=-2,z=4}.

You might be interested in
What is the value of x?​
bekas [8.4K]

Answer:

I can not see the picture.

Step-by-step explanation:

5 0
3 years ago
11. Given a matrix A, what is A^1?<br>A=[0 12 0 1]<br>​
pogonyaev

\text{Since  det(A) = 0, the  inverse of the matrix does not exist.}

3 0
3 years ago
A shadow 60 meters long is cast by a stone tower that is 32 meters tall. If a cedar tree close
hjlf

Answer:

107

Step-by-step explanation:

you will add 60 + 32 +15 = 107 that is how i got the answer

6 0
3 years ago
Write as a mixed number 73/8
lyudmila [28]
Your answer would be 9 1/8
5 0
3 years ago
Read 2 more answers
I need the least common denominator for this! I have been stuck on this assignment for a few days lol
zheka24 [161]

Answer:

100

Step-by-step explanation:

100 is the lowest number 50 and 20 both go into.

4 0
2 years ago
Read 2 more answers
Other questions:
  • An element with a mass of 680 grams decays by 27.7% per minute. To the nearest minute, how long will it be until there are 2 gra
    8·1 answer
  • Use the given graph to determine the period of the function. 1 &amp; 2 plz
    11·1 answer
  • The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations b
    13·2 answers
  • This is hard to me.PLEASE HELP
    13·1 answer
  • A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. One flower is chosen at random and given to a woman. An
    5·2 answers
  • A body of 200 grams falls from a 25 meter altimeter calculate the potential energy
    7·1 answer
  • If the amount of grapes harvested this year is 21% less than last year, what percent of the original amount was harvested?
    9·1 answer
  • Please answer this !!
    14·1 answer
  • What is the surface area of a sphere with a radius of 15 cm?
    10·1 answer
  • Write the quadratic equation whose roots are 3 and 1, and whose leading coefficient is 1
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!