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m235e2ans1

m235e2ans1 - B with'4 a matrlt a'ndX B column 1a Write the...

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1a: Write the system of equations in the forn AX : B with '4 a matrlt a'nd X' B column vectors. (1) (2) (3) (ii i\t\'i) 1b: Solve the system of equations from questioD 1a using row reduction (Causs elimina- "on'/\,o\E\ / )i 3\i\ -, f ,:?;\ Jl) "u1-' l.to\_i\-t t;r r\1) LooI z=3. \-\-\\ I / \ x:+29:5 r;+39:3 5;-Y+z:-4

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,i) tl\ dimension of lerf,4). / r' 1"".\ t ;:ii \?:::;i) - V'"2 \ /, \ *,\ ,n-{ i\'" ^t) Lo r d,s- /4 Ti^ab'"'0; '" What is thc 1\ -:, l-) ,il 2a: Find a basis of the It r ozo\ I o r, tr-t 1 -. tt t 1 -' \\ -l-L' /rrooo,\ s3! i;^) Lou o ' " ' /L10 2 0\ lo o 1 I rl ,'-12 2 r 5 1l \i r 2 1./ )1 21,: Find c, basi. of rhe inraqc oI A. Wlar i. rhe djmpn.ion of ia(A). i* A b-',,{ t*r;X tOt \ !\ \\\\i\\ NA,"._.,,'";A;1. Ir/ \_,]]-,, 2i Let Ah.a,s 4rlt t r*.L ; L* A U *^ rn r ua wrlti r ' [\.,-,- v* \v. cu,^ tiap wr. hc,.r' -;;t'\*\ wYu \.r ro'"\" rtlt'\li\ 3 2c: State the rank-rrul1ity theoretr. Are your calculations of the dimension of the kernel and image of,4 consistent with the rank-nullity theorern. Explain. '(q,4 *t.0-S,t*] s*b\\ t 'l'i S'-A ' r .-so at t'4 'tn nMqte--.
3: True or Fa,lse- (Plea^se support l'our answer with a brief reason or a counter-e,xarnple.) 3a: If the kernel of a,rr

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m235e2ans1 - B with'4 a matrlt a'ndX B column 1a Write the...

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