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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

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solniwko [45]

Answer:

X = -8

Step-by-step explanation:

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3 years ago
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre
Shtirlitz [24]

Answer:

Null Hypothesis, H_0 : \mu \leq 250 W  

Alternate Hypothesis, H_A : \mu > 250 W    

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

<u><em>Let </em></u>\mu<u><em> = mean power consumption of microwave ovens.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 W  

Alternate Hypothesis, H_A : \mu > 250 W    

Here, <u>null hypothesis states tha</u>t the mean power consumption of microwave ovens is no more than 250 W.

On the other hand, <u>alternate hypothesis sates that</u> the mean power consumption of microwave ovens is more than 250 W.

The test statistics that would be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;

                       T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.

5 0
3 years ago
Can someone please tell me why I got this wrong?
kvasek [131]
We have 
f(x)=<span>−x</span>²<span>+ 5x + 6
g(x)=</span><span>3x − 2

we know that
f(x)=g(x)
the solution is the intersection both graphs

using a graph tool
see the attached figure

the solution are the points
(4,10)
and
(-2,-8)

</span>

8 0
3 years ago
Abby can buy an 8-pound bag of dog food for $7.40 or a 4- pound of the same dog food for 5.38. Which is better buy?
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The answer to your Q the better one it is the 4- pound bag because it coast less money
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4 years ago
A tree is 3,212 years old how can you express this age in scientific notation with the lowest level of precision
AfilCa [17]
3x10^3 I believe that’s the answer
8 0
3 years ago
Read 2 more answers
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