I am representing my 3d data in covariance matrix. I just want to know what the determinant of a covariance matrix gives. If the determinant is positive, zero, negative, high positive, high negative, what does it mean or represent?
Covariance is being used to represent variance for 3d coordiantes that I have. For example, covariance matrix A determinant is +100, and covariance matrix B determinant is +5. Which of these values show if the variance is more? Which value tells that datapoints are more dispersed? Which value shows that readings are further away from mean?