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
Harrizon [31]
2 years ago
7

Suppose the coefficient matrix of a linear system of three equations in three variables has a pivot in each column. Explain why

the system has a unique solution.
Mathematics
1 answer:
Elis [28]2 years ago
7 0

The system has a unique solution. Because the augmented matrix can be reduced to the form of the identity matrix.

<h3>What exactly is a linear system?</h3>

It is an equation system in which the maximum power of the variable is always 1. A figure with only one dimension and no breadth. It is made up of infinite dots placed side by side.

The augmented matrix must be reduced to the form of the identity matrix since there are three pivots one in each row.

Whatever is on the opposite side of the equal sign, there is a solution that is specific and exists.

Hence, the system has a unique solution.

To learn more about the linear system, refer to the link brainly.com/question/20379472.

#SPJ1

You might be interested in
Lola purchased two pairs of shoes that each cost $20.00. She then purchased a pair of jeans for $14.50 and a shirt for $8.25. Wh
Oksana_A [137]

Answer:

62.75

Step-by-step explanation:

two pairs of shoes 20 each equals 40 bucks plus 14.50 equals 54.50 plus 8.25 equals 62.75

5 0
3 years ago
A sunflower in Julia's Rosario's garden was 12 centimeters tall when it was first planted. Since then, it has grown approximatel
Lady_Fox [76]
Http://mrksvirtualworld.weebly.com/uploads/8/3/6/6/8366987/real_life_problems_with_verbal_models.pdf  number 6
4 0
3 years ago
State all integer values of x in the interval [2,8] that satisfy the following inequality: 5x+ 4 &gt; 19
Pepsi [2]

The following integer values of x satisfy the given inequality,

4, 5, 6, 7, 8

What is an inequality?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made using inequality.

Solving the Inequality

The given inequality is,

5x + 4 > 19

5x > 19 - 4

5x > 15

x > 15/5

x > 3

So, the required values of x must be greater than 3 in the given interval, [2,8]

Thus, the integer values of x in the the interval [2,8] that satisfy the given inequality are 4, 5, 6, 7 and 8 (∵ Square brackets of an interval denote inclusion of the terminal values).

Learn more about inequality here:

brainly.com/question/20383699

#SPJ4

8 0
2 years ago
The altitude of an airplane is described by a certain function h , where h(t) is the altitude in feet of the airplane t minutes
aleksandr82 [10.1K]

The airplane’s altitude was 400 feet at 8:00 a.m. is the best describes

the meaning of the statement h(0)=400 ⇒ answer a

Step-by-step explanation:

The altitude of an airplane is described by a certain function h ,

where h(t) is the altitude in feet of the airplane t minutes after

8:00 a.m.

That means:

1. The altitude of the airplane can be calculated by using this function

   at any time after 8:00 a.m.

2. At 8.00 a.m. the value of t = 0

3. h(0) is the initial altitude of the airplane

∵ The altitude of the airplane h at any time t after 8:00 a.m. can be

   calculated from the function h(t)

∵ At 8:00 a.m. t = 0

∵ h(0) = 400

∴ The altitude of the airplane at t = 0 is 400

∴ The initial altitude of the airplane is 400

The airplane’s altitude was 400 feet at 8:00 a.m.

Learn more:

You can learn more about functions in brainly.com/question/10382470

#LearnwithBrainly

4 0
3 years ago
Determine the equation of a line passing through the point (2,-6), with a slope of m=-1
adoni [48]

Answer:

y = -x - 4

Step-by-step explanation:

<u>Given:</u>

a line with a slope of -1, passing through the point (2,-6)

Point-Slope Form: y - y₁ = m(x - x₁)

<u>where:</u>

(x₁, y₁) is the given point

m is the slope

Substitute the given values into the formula:

⇒ y - y₁ = m(x - x₁)

⇒ y - (-6) = -1(x - 2)

⇒ y + 6 = -1(x - 2) [distribute -1 through the parentheses]

⇒ y + 6 = -x + 2 [subtract 6 from both sides]

⇒ y + 6 - 6 = -x + 2 - 6

⇒ y = -x - 4

Check your work:

⇒ y = -x - 4 [substitute 2 for x, and -6 for y]

⇒ -6 = -2 - 4 [simplify]

⇒ -6 = -6 ✔

Therefore, the equation of the line is: y = -x - 4

Other examples:

brainly.com/question/27874261

brainly.com/question/24552408

8 0
2 years ago
Read 2 more answers
Other questions:
  • Find the sum of the reciprocals of two consecutive even integers if the larger integer is x. please answer;-;​
    11·1 answer
  • If the area (in square units) of the region under the curve of the function f(x) = 4 on the interval [1, a] is 20 square units,
    9·2 answers
  • TRANSLATIONS ON THE COORDINATE PLANE
    12·1 answer
  • What is the radius for the circle given by the equation x^2+(y-3)^2=21
    7·2 answers
  • (2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28 (5 points)
    10·2 answers
  • You and your date pplanning a date the limo would cost $300 for 6hrs . the limo can hold 10 people. you are asking other couples
    7·1 answer
  • What is 3/4 divided by 1/2<br><br> 2/3<br><br> 1 <br> 1 1/4<br><br> 1 1/2 <br><br> 3
    11·2 answers
  • Hurry please i will give yo a thanks and a full star rating if you get it right please thanks
    15·1 answer
  • Use the graph of f to estimate the local maximum and local minimum.
    15·1 answer
  • I’m confused on what to do.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!