Consider the data matrices Xand Y, both at in Objective #3. X contains the Old Faithful dataset, and Y is the centered v

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Consider the data matrices Xand Y, both at in Objective #3. X
contains the Old Faithful dataset, and Y is the centered
version/variant of X. With X and Y in mind, please answer the
following questions and include the answers in your submitted PDF
document:
Q1. Write a matrix P that, when multiplied by X (i.e., 𝑋𝑃), will
produce a new data matrix where all values of "eruption duration"
(currently in minutes) are in seconds, and where all values of
"time to next eruption"(currently in minutes)are in hours.
Q2. The covariance matrix of data matrix X
is:𝐾!!≈1.2913.8713.87183.54Write the covariance matrix(i.e., 𝐾!!)of
the centered data matrix Y.
Q3.Write a matrix that, when multiplied by the covariance matrix
of X(i.e., 𝑄𝐾!!),will produce the identity matrix.
X values where its xlabel eruption duration and ylabel time to
next eruption.
There is more values of the data that i have but i am mostly
looking for an example of how to answer these questions with any
data. The script and method example would be very helpful.
Y was formed from:
Define a centering matrix in Matlab, and call it 'C'. Use
the centering matrix 'C' to help create a new matrix
'Y', where 'Y' contains the data points from 'X', but
with the mean subtracted from each feature (i.e., dimension,
column) of X.
C = eye-(1/n)*ones;
Y = C * X;