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allochka39001 [22]
3 years ago
15

Which row operation will triangularize this matrix?

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0
Triangularizing matrix gives the matrix that has only zeroes above or below the main diagonal. To find which option is correct we need to calculate all of them.
In all these options we calculate result and write it into row that is first mentioned:

A)R1-R3
\left[\begin{array}{ccc}-1&0&0|0\\0&1&1|6\\2&0&1|1\end{array}\right]

B)2R2-R3
\left[\begin{array}{ccc}1&0&1|1\\-2&2&1|4\\2&0&1|1\end{array}\right]

C)-2R1+R3
\left[\begin{array}{ccc}0&0&-1|-1\\0&1&1|6\\2&0&1|1\end{array}\right]

D)2R1+R3
\left[\begin{array}{ccc}4&0&3|3\\0&1&1|6\\2&0&1|1\end{array}\right]

E)3R1+R3
\left[\begin{array}{ccc}5&0&4|4\\0&1&1|6\\2&0&1|1\end{array}\right]

None of the options will triangularize this matrix. The only way to <span>triangularize this matrix is
R3-2R1
</span>\left[\begin{array}{ccc}1&0&1|1\\0&1&1|6\\0&0&-1|-1\end{array}\right]
<span>
This equation is similar to C) but in reverse order. Order in which rows are written is important.</span>
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A basketball has a diameter of 10 in. Using = 3.14, what is the approximate volume of the basketball in cubic inches?
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523.3 cubic inches

Step-by-step explanation:

A basketball has a diameter of 10 in. Using = 3.14, what is the approximate volume of the basketball in cubic inches?

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Answer:

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Step-by-step explanation:

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Read 2 more answers
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