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
Tanya [424]
3 years ago
8

Convert the following systems of equations to an augmented matrix and use Gauss-Jordan reduction to convert to an equilivalent m

atrix in reduced row echelon form. (Show the steps in the process of converting to G-J). You don't have to find the solution set X12x223 = 6 2a1 3 = 6 X1x23x3 = 6
Mathematics
1 answer:
Rasek [7]3 years ago
4 0

Answer:

System of equations:

x_1+2x_2+2x_3=6\\2x_1+x_2+x_3=6\\x_1+x_2+3x_3=6

Augmented matrix:

\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]

Reduced Row Echelon matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]

Step-by-step explanation:

Convert the system into an augmented matrix:

\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]

For notation, R_n is the new nth row and r_n the unchanged one.

1. Operations:

R_2=-2r_1+r_2\\R_3=-r_1+r_3

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&-3&-3&-6\\0&-1&1&0\end{array}\right]

2. Operations:

R_2=-\frac{1}{3}r_2

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&-1&1&0\end{array}\right]

3. Operations:

R_3=r_2+r_3

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&2&2\end{array}\right]

4. Operations:

R_3=\frac{1}{2}r_3

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]

You might be interested in
Tina can walk 7 blocks in 34 minutes and 23 seconds. How many blocks can she walk in two hours?
Jet001 [13]
Use a calculator to solve this it's really simple
7 0
3 years ago
The value of a rare baseball card A appreciated by 20 percent over a five year period; over the next five years, the value plumm
lbvjy [14]
<h2>Answer:</h2>

<em><u>Percent value of A with respect to Percent value of B is,</u></em>

30\%

<h2>Step-by-step explanation:</h2>

In the question,

Let us say the value of the Baseball card A and B initially is = 100x

So, for Baseball card A in first 5 years percent increase = 20%

So,

Value after 5 years = 100x + 20% of 100x = 120x

<u>After 5 more years,</u>

Percent decrease = 50%

So,

<u>Value at the end of 10 years = 120x - 50% of 120x = 60x</u>

Now,

For Baseball card B, Percent increase in 10 years = 100%

So,

<u>Value of card B = 100x + 100% of 100x = 200x</u>

So,

<em><u>Percent value of A with respect to Percent value of B is,</u></em>

\frac{60x}{200x}\times 100=30\%

7 0
3 years ago
Write the quadratic equation in standard form:<br>5+ 7x = -4x2 – 5​
Bond [772]

Answer:

4x^2 + 7x +10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Anybody good in geometry and know how to do this? Free Brainliest and points !! I need at least 3 ppl to answer this !
yan [13]

Answer:

IM TERRIBLE IN GEOMETRY

Step-by-step explanation:

8 0
3 years ago
HELP ASAP IM BEING TIMEDD
MrRissso [65]

Answer:

53/100

Step-by-step explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

8 / 15 = 0.533

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 533

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule I applies, so 8/15 (or 0.533) rounded to the nearest hundredth in decimal format is:

0.53

 

Next, we will make 8/15 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:

0.53 = 0.53/1

Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:

(0.53 x 100) / (1 x 100) = 53/100

That's it. 8/15 rounded to the nearest hundredth is displayed below (simplified if necessary):

53/100

5 0
3 years ago
Read 2 more answers
Other questions:
  • The value of a collector’s item is expected to increase exponentially each year. the item is purchased for $500. after 2 years,
    5·1 answer
  • A bridge is 440 yards long hey scale drawing has a ratio of 1 inch equals 1 yard how long is the drawing
    12·2 answers
  • Solve for x<br> 3= x/2<br> pls i need this ASAP
    6·1 answer
  • Evaluate 4 2/3-(-1 4/5)
    14·1 answer
  • The FDA regulates that fresh Albacore tuna fish that is consumed is allowed to contain 0.82 ppm of mercury or less. A laboratory
    6·1 answer
  • 4K on tiktok? pls follow<br> at peachyxkylee
    7·2 answers
  • A Bar of steel is 340 cm long Issa cuts two 55cm lengths of the bar He then cuts the rest into as many 40cm lengths as possible
    5·1 answer
  • Simplify completely -1/2(6n + 4) + 2n <br><br> (!! NEED BY 1/29/20!!)
    10·1 answer
  • Nico and Lorena used different methods to determine the product of three fractions.
    10·2 answers
  • How many 1/5's are in 7 wholes?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!