Q6 of 124 Page 201

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

Given

To prove: A-A’ is a skew-symmetric matrix.(Note: A matrix P is skew-symmetric if P’ = -P)


Proof: First we will find the transpose of matrix A



Let us take P = A-A’





P’ = P


Hence A-A’ is a skew symmetric matrix.


More from this chapter

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4

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

 5

If show that (A + A’) is symmetric.

 7

Show that the matrix is skew-symmetric.

HINT: Show that A’ = -A.


 8

Express the matrix as the sum of a symmetric matrix and a skew-symmetric matrix.