Find the Values of the Variables for Which the Statement

question 54

Multiple Choice

Find the values of the variables for which the statement is true, if possible.
- $$\left[ \begin{array} { c c } 1 & - 3 \\x & 0\end{array} \right] = \left[ \begin{array} { c c } \mathrm { m } - 4 & \mathrm { n } + 4 \\7 & 0\end{array} \right]$$

• A) \(\mathrm { m } = - 7 ; \mathrm { n } = 5 ; \mathrm { x } = 0\)
• B) \(\mathrm { m } = 1 ; \mathrm { n } = - 3 ; \mathrm { x } = 7\)
• C) \(m = 5 ; n = - 7 ; x = 7\)
• D) \(\mathrm { m } = - 5 ; \mathrm { n } = + 7 ; \mathrm { x } = - 7\)

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Definitions:

Zero

A numeral representing the absence of any quantity or value; in mathematics and physics, it is considered a point of reference.

Peak-to-peak

A term used to describe the difference between the highest and the lowest values of a waveform, indicating its overall amplitude variation.

RMS Level

The root mean square level, a statistical measure of the magnitude of a varying quantity.

RMS

Root Mean Square, a statistical measure of the magnitude of a varying quantity, commonly used to compute the effective value of an AC current or voltage.