MAT224H1 Lecture 11: MAT224 LEC 11
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Indepence is basis independent tf x f v. Vic is basisfor v anev are ind itf cx a. E ar b o ti a j bj v t. U x b bin o t binei gmum o. Xu dep then i a nontrivial solar to ei bi x. 0 then oefbi ie dis vi: ea ft crisbj vi. Aij bj vi h bi an i are. I s are deep since not an bj"s are zero. To find din ker t ci pick basis ez write ct x g for v w. I find basis for nur fi i suppose ae o. Deft the image space 1 is set of like looks all w at cora epace. Tm t is a subspace of w let a v e lm t a be ok arcus btwn c avi. Tcu tcu c car tbh are bv e w. Ln t fr tf pf_i w e ion t w tw for some.
