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
Can someone help me with this .(let the download load or check in your downloads)
Nimfa-mama [501]
I don’t see anything it’s a white screen
5 0
3 years ago
Can someone explain how you do fractions like adding them? And what rules they have to find the answer?
frozen [14]

Answer:

Hope this image helps you. (sorry if it's tiny writing.)

Step-by-step explanation:

7 0
2 years ago
Madeline needs to find the slope of the line that passes through the points (9, 12) and (7, 4). She sets up the following work:
Over [174]

Answer:

No

Step-by-step explanation:

She has everything correct but one thing. In order to have her answer correct, she must put the 9 in front of the 7 because the bigger number needs to go in front.

4 0
3 years ago
What is 88 divided by 4,048
grandymaker [24]

Answer:

46

It's supposed to me 4,048 divided by 88. That would have made it a lot easier for you :)

I'm happy to help you :)

4 0
3 years ago
A complete table with values for x or y that make this equation true:3x+y=15
Reika [66]

Answer:

Table is attached

Step-by-step explanation:

We are given equation as

3x+y=15

We will complete each column

First column:

we are given x=2 and we have to find y

3\times 2+y=15

6+y=15

y=9

Second column:

we are given y=3 and we have to find x

3x+3=15

3x=12

x=4

Third column:

we are given x=6 and we have to find y

3\times 6+y=15

18+y=12

y=-6

Fourth column:

we are given x=0 and we have to find y

3\times 0+y=15

0+y=15

y=15

Fifth column:

we are given x=3 and we have to find y

3\times 3+y=15

9+y=15

y=6

Sixth column:

we are given y=0 and we have to find x

3x+0=15

3x=15

x=5

Seventh column:

we are given y=8 and we have to find x

3x+8=15

3x=7

x=\frac{7}{3}

now, we can complete table



8 0
3 years ago
Other questions:
  • What is 247,039 rounded to the nearest thousand?
    13·2 answers
  • Store Pineapple Unit Prices Nani needs to buy 8 cups of fresh pineapple for a fruit cocktail. The table shows the unit prices (p
    14·2 answers
  • Answer both questions please, help me this hard, help me anyone????????
    7·1 answer
  • Square EFGH stretches vertically by a factor of 2.5 to create square E′F′G′H′. The square stretches with respect to the x-axis.
    13·2 answers
  • Need help with easy/quick probability problems. Do 1-6 and explain how to do one of them
    13·1 answer
  • Will give u a crown
    10·1 answer
  • Use a fraction strips to find some. Write your answer in simplest form 1/3+1/4
    8·2 answers
  • What is the common difference in sequence 2a +1, +4a + 4, 6a +7 , 8a + 10?
    12·1 answer
  • Calculate the area of the shaded region. Show ALL of your work
    7·2 answers
  • What does a 360 degrees rotation look like?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!