Consider 8 yequgg rRk. Here k>102. Consider a matrix M defined as foltwil 1M=rrT. Based on this definition answer the following : (4) How many non-zero eigenvalue does the matrix M have ?. Derive all the nonzero eigenvalues. (b) Find the sum of absolute value of eigenvalues of this matrix i.e i=1ki where i is the ith eigenvalue of M. (c) How many non-zero singular values does MTM have. Also, derive the value of all non-zero singular value of MTM. [4 Marks]