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dekartisa da polarul koordinatTa sistemebi - ieeetsu

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MATLAB–Si erTeulovani matrica SegviZlia SevqmnaT eye funqciis<br />

saSualebiT. am funqciis argumenti msgavsia ones <strong>da</strong> zeros funqciaTa<br />

argumentebisa. Tu funqciis argumenti skalaria, miiReba kvadraetuli<br />

matrica, romlis svetebisa <strong>da</strong> striqonebis raodenoba argumentiT<br />

ganisazRvreba. Tu funqcias ori skalaruli argumenti aqvs, (ones(m,n)),<br />

miiReba n striqoniani <strong>da</strong> m svetiani matrica, romlis mTavari diagonalis<br />

elementebi erTis tolia, yvela <strong>da</strong>narCeni ki udris nuls. Tu argumenti<br />

matricaa, maSin Seiqmneba igive zomis erTeulovani matrica. Semdegi<br />

brZanebebi Seesabameba aRweril SemTxvevebs:<br />

A = eye(3);<br />

B = eye(3,2);<br />

C = [ 1 2 3; 4 5 6];<br />

D = eye( C );<br />

1 0 0<br />

1 0<br />

A 0<br />

0<br />

1<br />

0<br />

0<br />

1<br />

B 0<br />

1 2 3<br />

1 0 0<br />

C <br />

D <br />

4 5 6<br />

0 1 0<br />

sasurvelia erTeulovan matricas arasodes <strong>da</strong>varqvaT i, aman SesaZloa<br />

gamoiwvios problemebi Tu igive programaSi kompleqsur ricxvebs iyenebT.<br />

matriculi operaciebi<br />

matricis tranponireba. transponirebuli matrica es aris axali matrica,<br />

romlis svetebic sawyisi matricis striqonebia. transponirebuls aRniSnaven<br />

niSniT “ ” . magaliTad ganvixiloT matrica A <strong>da</strong> misi transponirebuli A:<br />

A <br />

2<br />

7<br />

4<br />

16<br />

5<br />

3<br />

5<br />

13<br />

1<br />

8<br />

21<br />

0<br />

A<br />

2<br />

5<br />

1<br />

7<br />

3<br />

8<br />

4<br />

5<br />

21<br />

16<br />

13<br />

0<br />

Tu <strong>da</strong>vakvirdebiT vnaxavT,rom elementi (3,1) gar<strong>da</strong>isaxa elementSi (1,3) anu<br />

A(3,1) = A(1,3), xolo A(4,2) = A(2,4). faqtiurad indeqsebi icvleba ise, rom A(i,j)<br />

= A(j,i).un<strong>da</strong> gvaxsovdes, rom Tu matrica ar aris kvadratuli (kvadratuli<br />

matricis svetebis <strong>da</strong> striqonebis raodenoba erTnairia), maSin matrica <strong>da</strong><br />

misi transponirebuli sxva<strong>da</strong>sxva zomisaa. transponirebis operacias xSirad<br />

viyenebT, roca gvsurs striqoni veqtori<strong>da</strong>n miviRoT sveti veqtori.<br />

Tu A matrica Seicavs kompleqsur ricxvebs, maSin A mogvcems<br />

transponirebul matricas, magaram misi elementebi iqneba sawyisi matricis<br />

elementebis kompleqsuri SeuRlebuli, amitom, Tu gvsurs transponirebuli<br />

matricis miReba ise, rom misi elementebis mniSvneloba ar Seicvalos, un<strong>da</strong><br />

visargebloT brZanebiT conj(A).<br />

magaliTad:<br />

>> Z=[1+2i, 2+4i, 2+4i; 2i, 6i, 7i];<br />

>> Z'<br />

ans =<br />

1.0000 - 2.0000i 0 - 2.0000i<br />

2.0000 - 4.0000i 0 - 6.0000i<br />

2.0000 - 4.0000i 0 - 7.0000i<br />

0<br />

1<br />

0

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