a х (2) Consider a dataset of N greyscale images, which are stored as arrays of size N. x Ny, corresponding to the numbe

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a х (2) Consider a dataset of N greyscale images, which are stored as arrays of size N. x Ny, corresponding to the number of pixels in each image, and where each element of the array is a pixel intensity. (d) Now consider a D-dimensional random vector, X ~ Nu, 2) (normally distributed with mean u and covariance E). If the eigenvalue decomposition of the covariance is Σ WAWT, show that X ~ u + WA1/2N(0,1). Hint: Recall that the probability density functions for two D-dimensional random vectors can be related by fx(x) = fy(y(x))|detJ], where Jij = dyi/OX;. [8 marks] ) = 2 = =