Web3 mei 2016 · To show a matrix M is symmetric, you just need to show that M = M T. So we want to show that A B A T is symmetric by showing that A B A T = ( A B A T) T. … Web7 apr. 2024 · Therefore, it is shown that if A and B are symmetric matrices then AB is symmetric if and only if AB = BA. Note: Remember that two matrices A and B are said to be commute matrices if they satisfy the criteria AB = BA. Also remember the property of a matrix that is as follows:

If A and B are symmetric matrices, prove that AB - Toppr Ask

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Answered: 11 . A = -1 -1 −1 11 11 -1 -11 -1 11 bartleby

Web2 jun. 2015 · If A T = − A which means A is skew symmetric then prove that ( A + B) is also skew symmetric. I managed to prove it like this: ( A + B) T = A T + B T = ( − A + − B) = … WebIf A and B are symmetric matrices, prove that AB−BA is a skew symmetric matrix. Medium Solution Verified by Toppr It is given that A and B are symmetric matrices. Therefore, we have: A=A and B=B .............. (1) Now, (AB−BA)=(AB)−(BA),[∵(A−B)=A−B] =BA−AB,[∵(AB)=BA] =BA−AB ................ [using (1) ] =−(AB−BA) ∴(AB−BA)=−(AB−BA) Web11 jan. 2011 · Find the orthogonal diagonalization of the following symmetric matrices. Transcribed Image Text: b. A = [11 -1 -1 -1 11 -1 -1 -1 11] Expert Solution. Want to see the full answer? Check out a sample Q&A here. ... Show that if ad bc = 0, then the equation Ax = 0 has more than one solution. ... tim mcgraw 1883 trailer