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
The following function represents the value of a house, in dollars, after x years: f(x) = 242,000(1.04)x What does 1.04 represen
zmey [24]
The number 1.04 represents the rate at which the house appreciates, or increases in its price annually.

As according to the values of an exponential equation, which is represented by this: y=ab^x, the a value represents the original price, the b value represents the rate of growth/decay (if growth, you add 1 to the rate, if decay, you subtract the rate from 1), and x represents the amount of times it decays or grows.

As according to the function <span> f(x) = 242,000(1.04)^x, 242,000 is the original price and 1.04 is the rate of growth since 1 has been added to the the 4% annual growth.</span>
5 0
4 years ago
MZ3 = 64<br>m_4 = 106°<br>and<br>4<br>2<br>3<br>1<br>What is<br>mZ1,​
ddd [48]

Answer: m∠1=42°

Step-by-step explanation

For this problem, we can separate the triangle into 2 separate triangles to solve for m∠1.

We know that m∠4 is 106°. ∠2 and ∠4 are supplementary angles. You can see that they make a straight line of 180°. We can use this fo find ∠2.

∠2+∠4=180

∠2+106=180

∠2=74°

Now that we know ∠2 is 74°, we can use that to solve for m∠1.

We know that the measures of the angles in a triangle equal to 180°. For the triangle at the bottom, we see ∠3, ∠2, ∠1. Since we know ∠3 and ∠2, we can find ∠1.

∠3+∠2+∠1=180

64+74+∠1=180

138+∠1=180

∠1=42°

4 0
4 years ago
Identify the number as real, complex, pure imaginary. radical -9
Lemur [1.5K]

Answer:

Pure imaginary

Step-by-step explanation:

\sqrt{ - 9}  =  \sqrt{ - 1 \times 9}  = 3i \\ is \: a \: pure\: imaginary \: number.

8 0
3 years ago
Javier earned the following scores on his first five tests: 77, 89, 84, 80, and 85. What score did he earn on his last test to h
Colt1911 [192]
You would have eto get an 89
3 0
3 years ago
Use The function f(x) is graphed below. the graph of the function to find, f(6).
____ [38]
F(6)=2

That is because the 6 in the brackets means x
If f(x) means f(6) x=6

And if you look at the graph where the 6 on the x axis is and look where the graph meets the value of 6 it is on the value of 2 on the y axis
4 0
4 years ago
Read 2 more answers
Other questions:
  • Find the slope of the line passing through (3,6) and (5,2)
    7·2 answers
  • Given 2x + ax - 7 &gt; -12, determine the largest integer value of a when x = -1.
    5·2 answers
  • The owner of a soybean farm raises guinea hens for food and insect control. Guinea hens will eat grasshoppers and other insect p
    6·1 answer
  • What is the answer to 8x9+6=
    8·2 answers
  • Of the 20 plants in Melissa's
    11·1 answer
  • What is the measure of
    13·1 answer
  • The exact numbers of each color of Umbrella Corporation's most popular candy, W&amp;Ws, naturally vary from bag to bag, but the
    7·1 answer
  • For the students in your school, the mean score on a state-wide standardized test was 116. Is the mean score a parameter or a st
    9·1 answer
  • Im giving brainlyest to first CORECT answer and 30points QUICKKKKKK
    8·1 answer
  • BRAINLIEST INCLUDED! The cost of a pair of boots was $40. They now cost $25. Determine the percent of decrease. Enter your respo
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!