Let X and B be matrices. If we have that B is a symmetric matrix (B is equal to its transposed matrix) and, in addition, it is satisfied that (X' + 22B) BX = 3B, then the matrix X is given by: a) -19(B- T "B. , provided that B I is a non- singular matrix (is invertible) b) -19(T- B) 'B provided that I-B is a non singular matrix (is invertible) c) - 19B(T B) provided that I-B is a non-singular matrix (is invertible) provided that B-I is a non-singular matrix (is invertible) -1 d) -19B(B-I)
Let X and B be matrices. If we have that B is a symmetric matrix (B is equal to its transposed matrix) and, in addition, it is satisfied that (X' + 22B) BX = 3B, then the matrix X is given by: a) -19(B- T "B. , provided that B I is a non- singular matrix (is invertible) b) -19(T- B) 'B provided that I-B is a non singular matrix (is invertible) c) - 19B(T B) provided that I-B is a non-singular matrix (is invertible) provided that B-I is a non-singular matrix (is invertible) -1 d) -19B(B-I)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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