Question

Can We Add Two Determinants

Answer 1

Explanation for the correct answer:

By adding their corresponding rows and column we can add 2 determinants.

For Example;

$\left|\begin{array}{cc}\mathrm{a}& \mathrm{b}\\ \mathrm{c}& \mathrm{d}\end{array}\right|+\left|\begin{array}{cc}\mathrm{e}& \mathrm{f}\\ \mathrm{g}& \mathrm{h}\end{array}\right|=\left|\begin{array}{cc}\mathrm{a}+\mathrm{e}& \mathrm{b}+\mathrm{f}\\ \mathrm{c}+\mathrm{g}& \mathrm{d}+\mathrm{h}\end{array}\right|$

Hence, we can add two determinants.