Mathematics · Linear Algebra
Consider two n × n matrices, A and B, such that A + B is invertible. Define two matrices, C = A(A + B)-1B and D = B(A + B)-1A. Which of the following relations always holds true?
- 1BCA = ADB
- 2C ≠ D
- 3C-1 = D
- 4C = D✓
Correct answer
C = D
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