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Difference between scalar and vector inequality!
The following inequality under given condition is true for scalar. However, is this still true for matrix? log| I + A + C| >= log| I + B + C| if log| I + A| >= log| I + B| and A, B, C >= 0 where |A| is absolute and determinant for scalar and matrix, respectively, and A >= 0 means semi positive scalar or semi positive definite matrix, respectively. Furthermore, is it possible to prove it using our Mathematica? Thank you in advance. Br, - Sungjin Kim communication at samsung.com kimsj at mobile.snu.ac.kr