Find the values of the variables for which the statement is true, if possible.
-$\left[ \begin{array} { l l l } 5 & p + 3 & q - 7 \end{array} \right] = \left[ \begin{array} { l l l } k + 2 & 6 & - 4 \end{array} \right]$
A) $\mathrm { k } = 3 ; \mathrm { p } = 3 ; \mathrm { q } = 3$
B) $\mathrm { k } = - 3 ; \mathrm { p } = - 3 ; \mathrm { q } = - 3$
C) $\mathrm { k } = 6 ; \mathrm { p } = 3 ; \mathrm { q } = 0$
D) $\mathrm { k } = 3 ; \mathrm { p } = 5 ; \mathrm { q } = - 4$

Question

Quizplus · Accepted Answer

Since the corresponding elements of the two matrices are equal, we have:$$5 = k + 2 \Rightarrow k = 3$$$$p + 3 = 6 \Rightarrow p = 3$$$$q - 7 = -4 \Rightarrow q = 3$$

Find the Values of the Variables for Which the Statement [5p+3q−7]=[k+26−4]\left[ \begin{array} { l l l } 5 & p + 3 & q - 7 \end{array} \right] = \left[ \begin{array} { l l l } k + 2 & 6 & - 4 \end{array} \right][5​p+3​q−7​]=[k+2​6​−4​]

Find the Values of the Variables for Which the Statement $\left[ \begin{array} { l l l } 5 & p + 3 & q - 7 \end{array} \right] = \left[ \begin{array} { l l l } k + 2 & 6 & - 4 \end{array} \right]$