Consider the Matrix $\left[ \begin{array} { c c : c } 1 & - 4 & 8 \\2 & 8 & 8\end{array} \right]$

question 247

Multiple Choice

Consider the matrix $\left[ \begin{array} { c c : c } 1 & - 4 & 8 \\2 & 8 & 8\end{array} \right]$ . What elementary row operation was performed to obtain the matrix $\left[ \begin{array} { c c : c } 1 & - 4 & 8 \\0 & 16 & - 8\end{array} \right]$ ?

• A) \(- 2 R _ { 1 } + R _ { 2 }\)
• B) \(2 R _ { 1 } + R _ { 2 }\)
• C) \(- 2 R _ { 2 } + R _ { 1 }\)
• D) \(2 R _ { 2 } + R _ { 1 }\)

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Definitions:

Coefficient

A numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., 4 in 4x).

Expression

A combination of symbols and numbers that represents a mathematical computation or quantity.

Distributive Property

A property indicating that the multiplication of a number by a sum is equal to the sum of the individual multiplications, represented as \(a(b + c) = ab + ac\).

Additive Inverse Property

A principle stating that for any real number, there exists another real number that, when added together, equals zero.