Q5 of 124 Page 201

If show that (A + A’) is symmetric.

Given

To Prove: A + A’ is symmetric.(Note:A matrix P is symmetric if P’ = P)


Proof: We will find A’,



Now let us take P = A + A’




Now



Hence A + A’ is a symmetric matrix.


More from this chapter

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3

If and verify that (A + B)’ = (A’ + B’).

 4

If and verify that (P + Q)’ = (P’ + Q’).

 6

If show that (A + A’) is skew-symmetric.

 7

Show that the matrix is skew-symmetric.

HINT: Show that A’ = -A.