MATH 211 Lecture Notes - Lecture 9: Adjugate Matrix, Xz, Transpose

• School: University of Calgary
• Department: Mathematics
• Course: MATH 211
• Professor: matthew burke

Document Summary

As note : calculate efficient method matrix inverse not an to. =thj unfinished f: adjugateis almost inverse theorem. Findinversensingadjngate this is going to be work adjlat (q. :c . hn/4o8l=zy adjca , (a) =u)3" 193,1=-21 cofz , " 2) (a) cofb ( of til iofaat the. A : when is this method preferable essentially never. Xz detctz ) del - ca ) cfffsfulsoaite this don"t waste you your time. I take determinant of both sides del - ca) del - cadj cad delta ) deff adj iad del - ca adj lad del - I del - chi ) delta ) de hadj iad - Detain detail delta ) detfadj iad - If a is invertible then def cadj cad - Example : x ::x :: " determinant (4011-12) Prowl column by scalar k multiplies determinant by k det cea ] Ko del - ca ) and def ce ) K swapping two rows fcolumnsr multiplies determinant.