Assume we have 1000 data points x1,x2,···,x1000∈r50. we know that thesingular values of the data matrix are given asσ1= 10,σ2= 9,σ3= 8,···,σ10= 1,σ11=0,···. we would like to find a low dimensional representation of the data points in a waythat at least 50% of the energy of the data is kept. what is the minimum value of the dimension that we can use for the low-dimensional representation of the data