امتحان نهایی خرداد 1403

<span class="d-inline-block ltr" data-lexical-equation="XGxlZnR8IHt7QX1eezN9fSBccmlnaHR8PXt7XGxlZnR8IEEgXHJpZ2h0fH1eezN9fT0tOFxSaWdodGFycm93IFxsZWZ0fCBBIFxyaWdodHw9LTJcLFwsXCxcLFwsKDAvMjUp" data-lexical-inline="true"><svg width="0.333em" height="1.200em" viewBox="0 0 333 1200"><path d="M145 15 v585 v0 v585 c2.667,10,9.667,15,21,15
c10,0,16.667,-5,20,-15 v-585 v0 v-585 c-2.667,-10,-9.667,-15,-21,-15
c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v0 v585 h43z"></path></svg>​A3<svg width="0.333em" height="1.200em" viewBox="0 0 333 1200"><path d="M145 15 v585 v0 v585 c2.667,10,9.667,15,21,15
c10,0,16.667,-5,20,-15 v-585 v0 v-585 c-2.667,-10,-9.667,-15,-21,-15
c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v0 v585 h43z"></path></svg>​=∣A∣3=−8⇒∣A∣=−2(0/25)<span class="d-inline-block ltr" data-lexical-equation="XGRmcmFje1xsZWZ0fCB7e0F9XnstMX19IFxyaWdodHx9e1xsZWZ0fCAzQSBccmlnaHR8fT1cZGZyYWN7XGRmcmFjezF9e1xsZWZ0fCBBIFxyaWdodHx9XCwoMC8yNSl9e3t7M31eezJ9fVxsZWZ0fCBBIFxyaWdodHxcLCgwLzI1KX09XGRmcmFjezF9ezM2fVwsXCxcLFwsXCwoMC8yNSk=" data-lexical-inline="true">∣3A∣<svg width="0.333em" height="1.200em" viewBox="0 0 333 1200"><path d="M145 15 v585 v0 v585 c2.667,10,9.667,15,21,15
c10,0,16.667,-5,20,-15 v-585 v0 v-585 c-2.667,-10,-9.667,-15,-21,-15
c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v0 v585 h43z"></path></svg>​A−1<svg width="0.333em" height="1.200em" viewBox="0 0 333 1200"><path d="M145 15 v585 v0 v585 c2.667,10,9.667,15,21,15
c10,0,16.667,-5,20,-15 v-585 v0 v-585 c-2.667,-10,-9.667,-15,-21,-15
c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v0 v585 h43z"></path></svg>​​=32∣A∣(0/25)∣A∣1​(0/25)​=361​(0/25)

اگر A=[aij​]2×2​ و <svg width="0.333em" height="1.200em" viewBox="0 0 333 1200"><path d="M145 15 v585 v0 v585 c2.667,10,9.667,15,21,15
c10,0,16.667,-5,20,-15 v-585 v0 v-585 c-2.667,-10,-9.667,-15,-21,-15
c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v0 v585 h43z"></path></svg>​A3<svg width="0.333em" height="1.200em" viewBox="0 0 333 1200"><path d="M145 15 v585 v0 v585 c2.667,10,9.667,15,21,15
c10,0,16.667,-5,20,-15 v-585 v0 v-585 c-2.667,-10,-9.667,-15,-21,-15
c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v0 v585 h43z"></path></svg>​=−8 باشد، حاصل ∣3A∣<svg width="0.333em" height="1.200em" viewBox="0 0 333 1200"><path d="M145 15 v585 v0 v585 c2.667,10,9.667,15,21,15
c10,0,16.667,-5,20,-15 v-585 v0 v-585 c-2.667,-10,-9.667,-15,-21,-15
c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v0 v585 h43z"></path></svg>​A−1<svg width="0.333em" height="1.200em" viewBox="0 0 333 1200"><path d="M145 15 v585 v0 v585 c2.667,10,9.667,15,21,15
c10,0,16.667,-5,20,-15 v-585 v0 v-585 c-2.667,-10,-9.667,-15,-21,-15
c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v0 v585 h43z"></path></svg>​​ را بیابید. (1)

حل تشریحی سوال شماره 40 سؤالات امتحان نهایی درس هندسه (3) دوازدهم خرداد 1403 (ریاضی)

امتحان نهایی خرداد 1403

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