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Liono4ka [1.6K]
4 years ago
9

The length of an swimming pool is best measure in ​

Mathematics
1 answer:
tino4ka555 [31]4 years ago
6 0

Answer: yards and meters

Step-by-step explanation:

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Find the inverse of this matrix.<br> 1 -1 -1<br> -1 2 3 <br> 1 1 4
zheka24 [161]

Let's use Gaussian elimination. Consider the augmented matrix,

\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\-1 & 2 & 3 & 0 & 1 & 0\\1 & 1 & 4 & 0 & 0 & 1\end{array}\right]

• Add row 1 to row 2, and add -1 (row 1) to row 3:

\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 2 & 5 & -1 & 0 & 1\end{array}\right]

• Add -2 (row 2) to row 3:

\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]

• Add -2 (row 3) to row 2:

\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]

• Add row 2 and row 3 to row 1:

\left[\begin{array}{ccc|ccc}1 & 0 & 0 & 5 & 3 & -1\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]

So the inverse is

\begin{bmatrix}1&-1&-1\\-1&2&3\\1&1&4\end{bmatrix}^{-1} = \boxed{\begin{bmatrix}5&3&-1\\7&5&-2\\-3&-2&1\end{bmatrix}}

3 0
3 years ago
Greatest to least for 6, 3, -1/4, 0, -2/3, -3/5
Gnesinka [82]
6, 3, 0, -1/4, -2/3, -3/5
4 0
4 years ago
Leticia charges $8 per hour to babysit. She babysat Friday night for 4 hours, and then she babysat again on Saturday. She earned
olganol [36]
Your answers are Equation A (8(4+x) = 72, and Answer C (5 hours).

1) Figure out how much of the total money she earned on Friday. 4*8= 32
2) She has 72 dollars total and 32 dollars were earned on Friday, meaning the rest was earned on Saturday. 72-32= 40
3) She earned 40 dollars on Saturday for 8 dollars an hour, so now you divide 40 by 8 and you get 5. She worked 5 hours on Saturday.
5 0
4 years ago
If p:q = 5;2 and q:r = 3:4, what is the ratio of p to r?
igor_vitrenko [27]
5:4 since p is equal to 5 and r is equal to 4
5 0
3 years ago
Can someone help me!!!​
Yanka [14]

Answer:

Step-by-step explanation:

Compare and contrast oceanographers and geologists.

6 0
3 years ago
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