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
Viefleur [7K]
3 years ago
15

Use the given inverse to solve the system of equations. left brace Start 3 By 3 Matrix 1st Row 1st Column x minus y plus z 2nd C

olumn equals 3rd Column negative 6 2nd Row 1st Column 2 y plus z 2nd Column equals 3rd Column negative 6 3rd Row 1st Column 3 x minus 8 y 2nd Column equals 3rd Column negative one half EndMatrix The inverse of left bracket Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column negative 1 3rd Column 1 2nd Row 1st Column 0 2nd Column 2 3rd Column 1 3rd Row 1st Column 3 2nd Column negative 8 3rd Column 0 EndMatrix right bracket is left bracket Start 3 By 3 Matrix 1st Row 1st Column negative 8 2nd Column 8 3rd Column 3 2nd Row 1st Column negative3 2nd Column 3 3rd Column 1 3rd Row 1st Column 6 2nd Column negative 5 3rd Column negative 2 EndMatrix right bracket .
Mathematics
1 answer:
natka813 [3]3 years ago
5 0

The interpretation of the given question is as follows:

Use the given inverse to solve the system of equations

x- y - z = -6  \\ \\ 2y + z = -6 \\ \\  3x -8 y = - \dfrac{1}{2}

The inverse of  \left[\begin{array}{ccc}1&-1&1\\0&2&1\\3&-8&0\end{array}\right]   is \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right]

x =

y =

z =

Answer:

x = - 1.5

y = - 0.5

z =  - 5

Step-by-step explanation:

Using the correlation  of inverse of matrix AX = B to solve the question above;

AX = B

⇒ A⁻¹(AX)  = A⁻¹ B

X =  A⁻¹ B

So ;

X         =        A⁻¹                             B

\left[\begin{array}{c}x\\y\\z\end{array}\right] =     \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right] =   \left[\begin{array}{ccc}-6\\ -6\\- \dfrac{1}{2}\end{array}\right]

   

 \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(-8*-6)+(8*-6)+(3*-\dfrac{1}{2})\\(-3*-6)+(3*-6)+(1*-\dfrac{1}{2})\\(6*-6)+(5*-6)+(-2* - \dfrac{1}{2})\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(48)+(-48)+(\dfrac{-3}{2})\\(18)+(-18)+(\dfrac{-1}{2})\\(-36)+(30)+(1)\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(\dfrac{-3}{2})\\(\dfrac{-1}{2})\\(-5)\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-1.5\\-0.5\\ -5\end{array}\right]

You might be interested in
two angles are complementary.one angles measure is 79 degrees. What is the measure of the other angle
dalvyx [7]
Complementary means the two angles add up to 90 degrees. Do 90 - 79 to find the other angle. 

It's 11 degrees. 
5 0
3 years ago
There are 144 pieces of fruit in a box.Of the fruit in the box 1/8 are red apples and 1/4 are green apples .The rest are oranges
alisha [4.7K]
There are 90 orange pieces altogether.
5 0
3 years ago
Read 2 more answers
You are directed to give a heroin addict 30 mg of methadone PO. the medication comes in tablets labeled 20 mg/tablet.How many ta
Ber [7]
I'm assuming 1.5 tablets
6 0
3 years ago
pete is a furniture refinisher. to paint a chest of drawers, he needs 1/2 gallon of paint. he has 1 quart. how many more quarts
bezimeni [28]
Pete needs one more quart of paint, leaving two quarts in total.
7 0
3 years ago
Divide 33 photos into two groups so the ratio is 4 to 7.
MrRissso [65]
33 divided by 2= 16.5
3 0
3 years ago
Other questions:
  • What is 0.09 times 64?
    11·2 answers
  • What is greater 5/6 or 2/3?
    15·2 answers
  • the circumference of a circle is 16π. show how you can use this information to find the same circles area.
    13·1 answer
  • 3
    7·1 answer
  • PLEASE HELP I dont know WHAT IM DOING! THANK YOU!
    5·2 answers
  • This question is designed to be answered with a calculator.
    6·1 answer
  • What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%5Cpi%20%7D%7B%5Csqrt%7B5%7D%20%7D" id="TexFormula1" title="\f
    12·1 answer
  • 22. It takes Lynn 4 ¾ hours to drive to her grandmother's house. If she has already driven 2 ½ hours, how much longer will it ta
    9·1 answer
  • How many terms are in 3x + 2y - 5?
    13·2 answers
  • Pls help this is on prodigy<br> no link
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!