B if a v 1 v 2 v n is an n n orthogonal matrix thenb

This preview shows page 11 - 13 out of 14 pages.

b) IfA=~v1~v2· · ·~vnis ann×northogonal matrix, thenB=~v2~v3· · ·~vn~v1is an orthogonal matrix such thathA, Bi= 0.
11
8.SupposeVis ann-dimensional vector space with basisB. SupposeL:VVis alinear operator. Prove that det[L]B6= 0, if and only ifLis one-to-one.

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture