Q. 304.7( 3 Votes )

If A and B are sy

Answer :

A and B are symmetric matrices,

A’ = A and B’ = B …(i)


Consider (AB – BA)’ = (AB)’ – (BA)’ [(a – b)’ = a’ – b’]


= B’A’ – A’B’ [(AB)’ = B’A’]


= BA – AB [from (i)]


= - (AB – BA)


(AB – BA)’ = - (AB – BA)


Hence, (AB – BA) is a skew symmetric matrix.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

<span lang="EN-USMathematics - Exemplar

<span lang="EN-USMathematics - Exemplar

Fill in the blankMathematics - Exemplar

Fill in the blankMathematics - Exemplar

Fill in the blankMathematics - Exemplar

If A, B are squarMathematics - Exemplar

Fill in the blankMathematics - Exemplar

Fill in the blankMathematics - Exemplar

Express the folloMathematics - Board Papers

Fill in the blankMathematics - Exemplar