Solved Problems in Linear Algebra

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    09-Dec-2015

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DESCRIPTION

Problem set from Ben Gurion University.

Transcript

503252312iiiiii 111)4(mod3)4(mod21)4(mod1)4(mod01nifinifnifinifi niii11 ni14sin4cos21ii)8(mod722)8(mod62)8(mod522)8(mod42)8(mod322)8(mod22)8(mod122)8(mod02121212212122121221212nwheninwheninwheninwhennwheninwheninwheninwheninnnnnnnnnnnnn 1 . , : 1 ).50-55i ,5-12i , ) : , ) : ) n : : 6576546574)74)(74(74741 iiiiii 23215329 iii iiiiii 150142004200592 zwi2eR zzabiabiaaz 212121iiz131 rzzi43143122rz 211 natab131 zii 21722,r ababz babaabbiabazabi1111222222222222223nis32soc2321132ziii .)2 : bi+a=z.) 3 ) ) ) ) ) . .) 4 , r zo : z . x- , . : . : 9292 wzi851485i 1wz73 wi 25 ziw 94985 z 45292921492i 1xzw xzwx92292552i 11i a92792 xbai 13 ab3ab 31231 x 450267x5dom(7)x6dom(7)x5dom(7)zi 3032 zizizazbc 22322zi 33iziziz 31121111231231231231 zizizi 333... 611nis611soc3423nis3423soc67nis67soc3223nis3223soc2nis2soc323nis323soc23nis23soc321ziiziiziiii3 z z . z ) , ( .) 5 . :: 1) , b,a : . b a ( ) , "": : 2 3) 5 .) 6 ) ) i.) 7 )i-z( c,b,a . : : : 2 :3 zzzizi 22521(21) 1 023212321rozirozroz iz223223232212321222222irozizbaabizabibazabi zi221123 ,1,i zizz ) ) ). ) ) ( ) ib+1=z.) 8 ) .1,1 ( y- ) ) , : ) : . 0=z) : 1) 1,1 ( (