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
spayn [35]
3 years ago
12

Use matrices and elementary row to solve the following system:

Mathematics
1 answer:
LiRa [457]3 years ago
5 0

I assume the first equation is supposed to be

5x-3y+2z=13

and not

5x-3x+2x=4x=13

As an augmented matrix, this system is given by

\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\4&-2&4&12\end{array}\right]

Multiply through row 3 by 1/2:

\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\2&-1&2&6\end{array}\right]

Add -1(row 2) to row 3:

\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\0&0&5&5\end{array}\right]

Multiply through row 3 by 1/5:

\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\0&0&1&1\end{array}\right]

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

\left[\begin{array}{ccc|c}5&-3&0&11\\2&-1&0&4\\0&0&1&1\end{array}\right]

Add -3(row 2) to row 1:

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

Multiply through row 1 by -1:

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

Add -2(row 1) to row 2:

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

Multipy through row 2 by -1:

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

The solution to the system is then

\boxed{x=1,y=-2,z=1}

You might be interested in
What is the relation between the trigonometric ratios tan(R) and tan(J)? Please answer ASAP!
Ilya [14]

Step-by-step explanation:

∆PQR similar to ∆ JKL

JK/KL= PQ/QR

6/12=3/QR

QR=3×2= 6

therefore, tan(R) = PQ/QR = 3/6=1/2

and, tan(J) = KL/JK =12/6=2

\frac{ \tan(R) }{ \tan(J) }  =  \frac{ \frac{1}{2} }{2}

\frac{ \tan(R) }{ \tan(J) }   =  \frac{1}{4}

tan(J)=4.tan(R)

option D

6 0
3 years ago
Find the domain and range of the exponential function h(x) = 125x.
kirill [66]
H(x) = 125^x

Domain: all the real numbers (from negative infinity to infinity)

Range: all the positive real numbers.

As x decreases 125^x decreases approaching to 0. The function will never reach the value 0 but will approximate to it as x goes to negative infinity. The rate of decreasing gets lower and lower, with a limit of zero, when x becomes more and more negative.

As x increases 125^x increases indefinetely and at an increasing rate. That means that the increase is accelerated (the bigger the value of x the bigger the rate of increasing).
4 0
2 years ago
A black-tailed jackrabbit hops about 7 feet in a single hop how far can a hop in 5 seconds
valkas [14]
The answer for this is 35 you have to multiply 5 by 7 and you will get your answer
4 0
3 years ago
Read 2 more answers
Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ θ < 360°. Round the direction to two decimal places
podryga [215]
V=<12,5>
Magnitude
|v| = sqrt(12^2+5^2) = 13

Direction
theta
= atan2(5,12)
= atan(5/12)
= 22.62 degrees

5 0
3 years ago
Please tell me the answer plsss i will be sure to mrk u brainliest for the best answer
Finger [1]

Step-by-step explanation:

2^3 X 3^-4 X 5^2 / (2x5)^2 X 2 X 3^2 X 3^-6

I will simply the expression on the RHS if the bracket first

2^2 X 5^2 X 2 X 3^2 X 3^-6

= 2^3 X 3^-4 X 5^2

So, putting them together

Both sides have th same expression

They cancel out each other

Answer : 1

5 0
2 years ago
Other questions:
  • A student runs 100 meters in 11 seconds. What is the speed of the student?
    7·1 answer
  • P-4=-9+p i don't know how to determine whether its an infinite solution, or n solution.
    15·2 answers
  • Write this number in standard form 2,000,000+80,000+1,000+300+40+3
    14·2 answers
  • If qr=8x+1 and qs=20x-26 than what is rs
    11·1 answer
  • An industrial psychologist conducted an experiment in which 40 employees that were identified as "chronically tardy" by their ma
    15·1 answer
  • Evaluate 5|7-9|-2. i dont get it
    5·1 answer
  • 5/6 x 3/4 as an array is?
    15·1 answer
  • Repost because i forgot the equation <br><br> ! 20 points !<br> someone please help me
    12·2 answers
  • (a) Laura owns 6 shares of a certain stock. Yesterday the total value of her shares went down by
    11·2 answers
  • What is the area of this shape?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!