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
Liono4ka [1.6K]
3 years ago
10

What is the determinant of the coefficient matrix of the system {4x+3y+2z=0 -3x+y+5z=0 -x-4y+3z=0

Mathematics
1 answer:
slava [35]3 years ago
7 0

Answer:

  130

Step-by-step explanation:

You want the determinant of the matrix ...

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

One way to figure it is as the difference between the sum of products of the down-diagonals and the sum of products of the up-diagonals:

  D = (4)(1)(3) +(3)(5)(-1) +(2)(-3)(-4) -(-1)(1)(2) -(-4)(5)(4) -(3)(-3)(3)

  = 12 -15 +24 +2 +80 +27

  D = 130

The determinant of the coefficient matrix is 130.

_____

Many scientific and graphing calculators and web sites can perform this calculation for you.

You might be interested in
In a test of a​ gender-selection technique, results consisted of 229 baby girls and 7 baby boys. Based on this​ result, what is
kirill115 [55]

Answer:

I'm pretty sure that the answer would be 229/236.

Step-by-step explanation:

Ok so. Since the results of the test is 229 for a girl and the results for a boy is 7. So i'm pretty sure what to do is combine both the results and keep that as the denominator. And then the numerator will be the result. So in this case the numerator would be 229 and the denominator would be 236.

I hope this helped, have a great day!!!

3 0
3 years ago
15,30, 60,... Find the 6th term.​
kolbaska11 [484]

Answer:

15, 30, 60, 120, 240, <u>480</u>.

Step-by-step explanation:

You multiply the numbers by 2 to get to the next number.

For example, 15*2 is 30. 30*2 is 60. 60*2 is 120, etc..

7 0
2 years ago
Read 2 more answers
If Tanisha has ​$nbsp 100 100 to invest at 66​% per annum compounded semiannuallysemiannually​, how long will it be before she h
Oxana [17]

Answer:

time is 6.76 years

Step-by-step explanation:

given data

amount = $150

payment = $100

rate r = 6%  = 0.06

to find out

time period t

solution

we know it is compounding continuous

so we will apply here formula that is

amount = payment × e^{rt}   ..........1

put here all value we get

amount = payment × e^{rt}  

150 = 100 × e^{0.06t}  

take ln both side

ln 1.5 =  e^{0.06t}  

0.40546 = 0.06t

t = 0.40546 / 0.06

t = 6.76

so time is 6.76 years

7 0
3 years ago
Determine whether the value is from a discrete or continuous data set. Number of coins in a jar is 78 number of coins in a jar i
Phoenix [80]

Determine whether the value is from a discrete or continuous data set. Number of coins in a jar is 78 number of coins in a jar is 78

Answer: Number of coins in a jar is from a discrete data set. Because the given variable is countable in a finite amount of time.

If a variable can take on any value between two specified values, it is called a continuous variable; otherwise, it is called a discrete variable.


3 0
3 years ago
The ice cream store offers schools a discount of 12% for the month of June. The school decides to purchase ice cream bars for th
lilavasa [31]

Answer:

Divide the number of ice-cream bars into the number of people. Example: say you have 20 ice cream bars and 10 people you divide 20/10 and get 2 ice cream bars per person

Step-by-step explanation:

Are you also a simp for draco? :3

6 0
3 years ago
Other questions:
  • a person stands on top of a 200 ft building and spots a person on the ground below. the angle of depression from where the perso
    12·1 answer
  • What are the steps into solving this problem
    7·1 answer
  • A - g(x) = |x-5|+5 <br> B - g(x) = |x-5| <br> C - g(x) = |x|+5 <br> D - g(x) = |x+5|+5
    7·1 answer
  • 103,727,495 in a word form
    10·1 answer
  • 1.Find the area of the trapezoid. Leave your answer in simplest radical form. The figure is not drawn to scale.
    12·1 answer
  • WILL GIVE BRAINLIEST:
    14·2 answers
  • The length of a rectangle is 4 meters less than twice it's width. The area of the rectangle is 70 find the demotions of the rect
    13·1 answer
  • Pat thinks of a number that is greater than 4 and less than 5.He doubles the number
    11·1 answer
  • How many square feet of outdoor carpet will we need for this hole? HELP PLS!!!
    8·1 answer
  • Determine whether the two triangles are simllar. If they are similar, select the simllarity statement. А 24° 74° 0 B. C (select)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!