= 3. Assume DT (d₁,..., dn) and D-1 (C₁, C₂,..., Cn) are given. Let vector de Rn and an index 1 ≤ k ≤n. Assume d ck ‡0. If replace k-th row of D by dº, that is, Ck DT = (d₁,..., dk-1, d, dk+1,..., dn), Let D-¹ = (₁, ..., ên). Then {" Ci - dick if ik, if i = k. -1 Verify/prove that D-¹ is indeed the inverse of the matrix D. drck. Ck Ck
= 3. Assume DT (d₁,..., dn) and D-1 (C₁, C₂,..., Cn) are given. Let vector de Rn and an index 1 ≤ k ≤n. Assume d ck ‡0. If replace k-th row of D by dº, that is, Ck DT = (d₁,..., dk-1, d, dk+1,..., dn), Let D-¹ = (₁, ..., ên). Then {" Ci - dick if ik, if i = k. -1 Verify/prove that D-¹ is indeed the inverse of the matrix D. drck. Ck Ck
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 78E: Let S={v1,v2,v3} be a set of linearly independent vectors in R3. Find a linear transformation T from...
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