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Ivenika [448]
3 years ago
14

Is Crammer’s Rule always applicable when trying to solve a system of linear equations? Explain.

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
6 0
No. It's not always applicable.
The system must have the same number of equations as variables, that is, the coefficient matrix of the system must be square.
Art [367]3 years ago
3 0

No, Crammer’s Rule isn’t always applicable when trying to solve a system of linear equations because let’s say for example, i<span>f the determinant of the coefficient matrix is 0, then Cramer's rule cannot be applied. This usually happens there’s no solution or an infinite number of solutions. </span><span>In linear algebra, </span>Cramer's rule<span> is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.</span> I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Montano1993 [528]

Answer:

0.2 miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.

Step-by-step explanation:

As there is no graph mentioned here but the information are quite sufficient to answer the question.

We have points (0,3), (5,4),(10,5)...

From these points we can find the slope of the line .

From point slope formula y-y_1=m(x-x_1)

And assigning (x,y) (0,3) and (x_1,y_1) (5,4)

m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2

This slope is also the speed of the bird which is 0.2\ miles\ per\ minute.

As by plugging the values of any coordinate point we can confirm this.

Lets put (10,5), y-axis is the distance so in 10 minutes the the distance covered by the bird must be equal to to y-axis value which is 5 miles.

y=0.2(x),y=0.2(10)=5\ miles

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So the correct choices are:B and D

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