Question Number 41392 by rahul 19 last updated on 06/Aug/18
$$\mathrm{If}\:\mathrm{both}\:\mathrm{A}−\:\frac{\mathrm{I}}{\mathrm{2}}\:\mathrm{and}\:\mathrm{A}+\frac{\mathrm{I}}{\mathrm{2}}\:\mathrm{are}\:\mathrm{orthogonal} \\ $$$$\mathrm{matrices},\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that}\: \\ $$$$\mathrm{A}^{\mathrm{2}} =\:−\frac{\mathrm{3}}{\mathrm{4}}\:\mathrm{I}. \\ $$
Commented by rahul 19 last updated on 07/Aug/18
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