MAT 22A Lecture Notes - Lecture 31: Orthonormality, Detent, Determinant
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Jn and we want to find orthonormal vectors gin. Orthonormal vectors are also linearly independent , and much easier to work with. I it , e projection of tronto in ) step 2. Find an orthogonal basis the for span of vi. A that reveals a lot of info about. [ qbd ) , me have det at = ad - be. I qbd ] , adf. si i de ba ) tfa , A we define det at as follows . A obtained by deleting now i and column j of a. Def i the cofactor cig is the number cig = hi " de tulip. Iai can be computed by either formula : def cai = , ci z ti it ain cin c across row it: det cai. = ail cil ta is liz t it any cnj i down column g i. , 4g solve : by i ) . cross row.
