Q9 of 108 Page 88

Find and , when


(i)



On adding A and A’, we get,






Therefore, (A + A’) = 0





(ii)



On adding A and A’, we get,





We can rewrite the above equation as’



Therefore, (A + A’) = 2(A) (from equation 1)





More from this chapter

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8

For the matrix , verify that

(A + A’) is a symmetric matrix

 8

For the matrix , verify that

(A – A’) is a skew symmetric matrix

 10

Express the following matrices as the sum of a symmetric and a skew symmetric matrix:

 10

Express the following matrices as the sum of a symmetric and a skew symmetric matrix: