A is:

Engineering

Chemistry

Nucleophilic Substitution

Preparation of Alkyl Halide

Question

A is:

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The given matrix equation is $A + B = [\begin{matrix} 2 & 3 \\ 5 & 7 \end{matrix}]$ and $A - B = [\begin{matrix} 0 & 2 \\ 4 & 6 \end{matrix}]$ . To find matrix A, add the two equations: (A+B)+(A-B)=2A. This gives $2 A = [\begin{matrix} 2 & 5 \\ 9 & 13 \end{matrix}]$ . Therefore, $A = \frac{1}{2} [\begin{matrix} 2 & 5 \\ 9 & 13 \end{matrix}] = [\begin{matrix} 1 & \frac{5}{2} \\ \frac{9}{2} & \frac{13}{2} \end{matrix}]$ .

Final Answer: $[\begin{matrix} 1 & \frac{5}{2} \\ \frac{9}{2} & \frac{13}{2} \end{matrix}]$