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denis23 [38]
3 years ago
6

Which row operation will trangularize this matrix?

Mathematics
2 answers:
Nadya [2.5K]3 years ago
8 0

\left[\begin{array}{ccc}1&0&1\\0&0&1\\2&0&1\end{array}\right|\left\begin{array}{ccc}1\\6\\10\end{array}\right] \xrightarrow{-2R_1+R_3}\left[\begin{array}{ccc}1&0&1\\0&0&1\\0&0&-1\end{array}\right|\left\begin{array}{ccc}1\\6\\8\end{array}\right]\\\\Answer:\ C.\ -2R_1+R_3

cupoosta [38]3 years ago
4 0

Answer:

The correct option is C.

Step-by-step explanation:

Triangular matrix is a square matrix in which either all the entries above the main diagonal or all the entries below the main diagonal are zero. These are now as upper triangular and lower triangular matrices respectively.

The given matrix is

\begin{bmatrix}1 & 0 & 1|\ 1\\ 0 & 1 & 1|\ 6\\ 2 & 0 & 1 |10\end{bmatrix}

In this matrix two elements below the main diagonal are zero. We need one more zero in first column of third row. So, we need to apply an operation to make a zero in first column of third row.

The element in first column of third row is 2.

The element in first column of first row is 1.

R_3-2(R_1)=2-2(1)=0

The required operation is -2R_1+R_3.

Apply R_3\rightarrow -2R_1+R_3,

\begin{bmatrix}1 & 0 & 1|\ 1\\ 0 & 1 & 1|\ 6\\ 0 & 0 & -1 |\ 8\end{bmatrix}

Therefore the correct option is C.

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Ierofanga [76]
92 males buy tickets so
200-92=108
so 108 females buy tickets

30 males buy business and a total of 44 people (female and male) but business so 44-30=14
14 females buy business

108-14(business ticket) = 94 females left.
62 of those 94 females buy economy tickets
so therefore 94-62=32. 32 females left over

14 females = business
62 females = economy
14 + 62 = 76
108 - 76 = 32
32 remaining females buy premium


it says a total of 60 people buy premium so 60 - 32 = 28

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hope this helped
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3 years ago
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Answer:

Step-by-step explanation:

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3 years ago
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 16 + 2x − x^2, [0, 5]
RSB [31]

Answer:

<h2>absolute maximum = 16</h2><h2>absolute minimum = 1</h2>

Step-by-step explanation:

To get the absolute maximum and minimum values of the function f(x) = 16 + 2x − x² n the given interval [0,5], we need to get the values of f(x) at the end points. The end points are 0 and 5.

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