- 1 (50.16 KiB) Viewed 46 times
3 Problem 3 Given A E Rnxn, B € Rnxm, CE Rmxn, DE Rmxm, a E Rn, and be Rm. Assume D and ΤΑ C D (A - BD-¹C) are invertibl
-
answerhappygod
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am
3 Problem 3 Given A E Rnxn, B € Rnxm, CE Rmxn, DE Rmxm, a E Rn, and be Rm. Assume D and ΤΑ C D (A - BD-¹C) are invertibl
3 Problem 3 Given A E Rnxn, B € Rnxm, CE Rmxn, DE Rmxm, a E Rn, and be Rm. Assume D and ΤΑ C D (A - BD-¹C) are invertible. Let X = 1. Give the expression of the solution to А [AB] 0-8 = 2. Prove that det (X) = det (D)det (A – BD-¹C). Also, give the expression of X-¹.