Q52Section I (Objective (Q1–Q80))52 of 80

Linear Algebra — trace of idempotent g-inverse products

Let $A$ be an $n \times p$ matrix of rank $r$ and let $A^-$ denote the generalized inverse of $A$ . Consider the following statements: I. Trace $(AA^-)$ = Trace $(A^-A)$ II. Trace $(AA^-) \ne r$ Which of the statements given above is/are correct?

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