4η διάλεξη Γραμμικής Άλγεβρας

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    04-Jul-2015
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Transcript of 4η διάλεξη Γραμμικής Άλγεβρας

  • 1. Eplush Trigwnikn Susthmtwn Eplush Genikn SusthmtwnGrammik 'AlgebraApaloif tou GkoucTmma Hlektrolgwn Mhqanikn kai Mhqanikn UpologistnPanepistmio Jessalac29 Septembrou 2014

2. Eplush Trigwnikn Susthmtwn Eplush Genikn SusthmtwnEplush Eidikn Susthmtwn (m = n)Me diagniouc pnakec suntelestn: ai;j = 0; 8i6= ja1;1x1 + 0x2 + : : : + 0xn = b10x1 + a2;2x2 + : : : + 0xn = b2...0x1 + 0x2 + : : : + an;nxn = bn9>>>>= >>>>; 3. Eplush Trigwnikn Susthmtwn Eplush Genikn SusthmtwnEplush Eidikn Susthmtwn (m = n)Me diagniouc pnakec suntelestn: ai;j = 0; 8i6= ja1;1x1 + 0x2 + : : : + 0xn = b10x1 + a2;2x2 + : : : + 0xn = b2...0x1 + 0x2 + : : : + an;nxn = bn9>>>>= >>>>;) xj = bj=aj;j; 1jnMe trigwnikoc pnakec suntelestn: ai;j = 0; 8ija1;1x1 + 0x2 + : : : + 0xn = b1a2;1x1 + a2;2x2 + : : : + 0xn = b2...an;1x1 + an;2x2 + : : : + an;nxn = bn9=; 4. Eplush Trigwnikn Susthmtwn Eplush Genikn SusthmtwnEplush Eidikn Susthmtwn (m = n)Me diagniouc pnakec suntelestn: ai;j = 0; 8i6= ja1;1x1 + 0x2 + : : : + 0xn = b10x1 + a2;2x2 + : : : + 0xn = b2...0x1 + 0x2 + : : : + an;nxn = bn9= ;) xj = bj=aj;j; 1jnMe trigwnikoc pnakec suntelestn: ai;j = 0; 8ija1;1x1 + 0x2 + : : : + 0xn = b1a2;1x1 + a2;2x2 + : : : + 0xn = b2...an;1x1 + an;2x2 + : : : + an;nxn = bn9=;)xj [email protected]