Question: 68. Let A be a non-negative matrix. Show that B is positive definite for each *a* every *a* such that 0 < *a* 1

68. Let A be a non-negative matrix. Show that B is positive definite for each *a*

every *a* such that 0 < *a* ≤ 1 where

$$B = aI + (1 - a)A.$$

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