You work at a company called 'PulseTech'. The startup is about to launch a new smart wristband that has a photoplethysmogram (PPG) sensor that monitors heart rhythms. This sensor captures a reading every 60 seconds, represented by beats per minute (bpm).Imagine you possess this heart rate information for N individuals, gathered over a span of one day, and you save it in a vector hi for i = 1, 2, 3, ..., N. (a) Let H = (h1, h2, ..., hy). What is the dimensionality of this matrix?(b) Define a matrix S whose entries are:hihj(9) ; ; = ((| h || | ||You observe that this matrix seems to have a "blocky" structure where the bottom right quarter of thematrix has notably large values, close to 1. What might this indicate about the users? Use at most 3sentences, appealing to linear algebraic concepts.

(a) The matrix H has a dimensionality of N x 1440, where N is the number of individuals, and 1440…

(a) Let H = (h₁, h2, ..., hy). What is the dimensionality of this matrix? (b) Define a matrix S whose entries are: (S)i,j = hihj ||hi|| ||hj||, You observe that this matrix seems to have a "blocky" structure where the bottom right quarter of the matrix has notably large values, close to 1. What might this indicate about the users? Use at most 3 sentences, appealing to linear algebraic concepts.