You can check 27+ pages ab is symmetric if ab ba solution in Google Sheet format. BA as A AT and B BT given. 24Given A and B are symmetric matrices AT A and BT B i To prove AB BA is a symmetric matrix. BA-ABBA-AB- AB-BA AB-BA- AB-BA skew symmetric matrix ii BA 2AB is a Neither Symmetric nor Skew Symmetric. Read also study and ab is symmetric if ab ba AB T AB ie.
So we have detAB detA detB detB detA detBA Are there other functions f for which fAB fBA. 28No AB and BA cannot be just any two matri-ces.
Reflexive Example Ab Ab Symmetric Example Ab Ba Segmentation Lesson Relationship If A and B are symmetric matrices of same order and X AB BA and Y AB BA then XYT is equal to XY YX YX None of these XABBAXTXand YABBAYTYNo.
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Hence AB ------ 1 It is also given that A and B are symmetric.

Hence by -- 1 becomes AB BA. AB BA T AB T BA T B T A T - A T B T BA AB - AB BA AB BA T - AB BA AB BA is Skew-symmetric. Then the matrix AB - BA is equal to 1 a. We need to show AB is symmetric. If A and B are symmetric matrices of same order prove that br AB-BA is a skew -symmetric matrix. Doubtnut is Worlds Biggest Platform for Video Solutions of Physics Che.
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