Question

The drama club at a local high school sells adult, teen, and child tickets for a school play. The matrix below represents the tickets sold and the total cost of the tickets for three performances.

Answer 1

Answer:

a is the correct answer in e2020

Step-by-step explanation:

Answer 2

Based on the calculations, the row operation (-2R₁ + R₂ → R₂) is equal to:$\left[\begin{array}{cccc}3&12&8&102\\0&-6&-6&-42\\0&15&5&85\end{array}\right]$

How to determine a row operation?

First of all, we would write a matrix to represent the number of tickets sold and the total cost of the tickets for three performances as follows:

                   $\left[\begin{array}{cccc}3&12&8&102\\6&10&6&102\\0&15&5&85\end{array}\right]$

Next, we would perform this row operation (-2R₁ + R₂ → R₂):

$\left[\begin{array}{cccc}3&12&8&102\\(-2\times 3+6)&-2\times 12+18)&-2\times 6+6)&-2\times 102+162)\\0&15&5&85\end{array}\right]$

Evaluating further, we have:

$\left[\begin{array}{cccc}3&12&8&102\\0&-6&-6&-42\\0&15&5&85\end{array}\right]$

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Complete Question:

The drama club at a local high school sells adult, teen, and child tickets for a school play. The matrix below represents the tickets sold and the total cost of the tickets for three performances.

$\left[\begin{array}{cccc}3&12&8&102\\0&-6&-6&-42\\0&15&5&85\end{array}\right]$

What is the result of performing the row operation (-2R₁ + R₂ → R₂) on this matrix?