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Zielflug [23.3K]
4 years ago
10

Suppose the coefficient matrix of a system of linear equations has a pivot position in every row. Explain why the system is cons

istent. Choose the correct answer below. A. The system is consistent because the rightmost column of the augmented matrix is not a pivot column. B. The system is consistent because all the columns in the augmented matrix will have a pivot position. C. The system is consistent because the augmented matrix is row equivalent to one and only one reduced echelon matrix. D. The system is consistent because the augmented matrix will cont
Mathematics
1 answer:
mestny [16]4 years ago
8 0

Answer: A.

The system is consistent because the rightmost column of the augmented matrix is not a pivot column.

Explanation: a system is consistent if and only if the rightmost column of the augmented matrix is not a pivot column. Since every column of the coefficient matrix is a pivot column, none of the leading coefficients are in the rightmost column of the augmented matrix. Therefore the rightmost column of the augmented matrix cannot be a pivot column and the system must be consistent.

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It seems there's more information in you question that you haven't posted.

7 months = 7 * (365/12) = 213 days

The half-life of chromium 51 is 27.7 days.

After 7 months, chromium 51 will have undergone 7.69 half-lives.

To solve for the ending amount we'll use the formula:

Ending Amount = Beginning Amount / 2^n where 'n' = # of half-lives

We'll say the beginning amount =1

Ending Amount = 1 / 2^7.69

Ending Amount = 0.0048426082

Basicaly if you started with 1 gram of chromium 51, after 7 months you would have 0.0048426082 grams.

Source: https://www.1728.org/halflife.htm

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

4 is the answer

hope it helps Lol

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