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mixer [17]
3 years ago
10

For which values of a does ????3a 2a − 6 6a 4a − 12 ???? have an inverse matrix?

Mathematics
1 answer:
likoan [24]3 years ago
7 0

Answer:

The matrix does not have an inverse.

Step-by-step explanation:

A=\begin{bmatrix}3a & 2a-6\\ 6a & 4a-12\end{bmatrix}

det\ A=3a(4a-12)-6a(2a-6)\\\Rightarrow det\ A=12a^2-36a-(12a^2-36a)\\\Rightarrow det\ A=12a^2-36a-12a^2+36a\\\Rightarrow det\ A=0

Since the determinant of the matrix is zero it is called a singular matrix.

Singular matrices do not have an inverse.

Hence, the matrix does not have an inverse.

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At the movies, Liz eats 1/4 of a box of popcorn. Her friend Kyra eats 2 times a small much as Lizard eats. How much of a box of
const2013 [10]
Kyra ate 1/4 of the box of popcorn because 2 x 1/4 = 2/4 or 1/2. Hope this helps
5 0
4 years ago
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Which of the relations given by the following sets of ordered pairs is a function?
adell [148]
Functions cannot have the same X value (the first number), but they can have the same Y value (the second number).
<span>A. {(1,2),(2,3),(3,4),(2,1),(1,0)}
B. {(2,−8),(6,4),(−3,9),(2,0),(−5,3)}
C. {(1,−3),(1,−1),(1,1),(1,3),(1,5)}
D. {(−2,5),(7,5),(−4,0),(3,1),(0,−6)}

Choice A. has two repeating X values [(1,2) and (1,0), (2,3) and (2,1)]
Choice B. has one repeating X value [(2, -8) and (2,0)]
Choice C. all has a repeating X value (1)
Choice D doesn't have any repeating X values.

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8 0
4 years ago
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3 years ago
Answers matching "The combined average weight of an okapi and a llama is 450 kilograms. The average weight of 3 llamas is 190 ki
kirill [66]

Let us say that:

x = weight of llamas

y = weight of okapi

 

From the problem, we can create the equations:

x + y = 450           --> 1

3 x = y + 190        --> 2

 

Rewriting equation 1:

x = 450 – y

 

From equation 2:

3 (450 – y) = y + 190

1350 – 3 y = y + 190

4 y = 1160

y = 290

 

From equation 1:

x = 450 – 290

x = 160

 

Therefore a llama weighs 160 kilograms while okapi weigh 290 kilograms on average.

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4 years ago
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Step-by-step explanation:

A ray is 180 degrees and you can go from there. Hope this helps!

8 0
2 years ago
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