In other words, we can say that transpose of Matrix B is not equal to matrix B (). What is a Skew-Symmetric Matrix? Square Matrix A is said to be skew-symmetric if for all i and j. In other words, we can say that matrix A is said to be skew-symmetric if transpose of matrix A is equal to negative of Matrix A i.e ().
The trace of a matrix is the sum of the (complex) eigenvalues, and it is invariant with respect to a change of basis. This characterization can be used to define the trace of a linear operator in general. Note that the trace is only defined for a square matrix (i.e., n × n).