## Question

###### 10.10 marks)Briefly describe what is principal component analysis (PCA) algorithm. (2 marks) Briefly describe how to obtain the Ist principal component: 2 marks) Given a dataset consisting of 1000 samples and 30 variables, what are the dimen- sions of the transformed dataset using the Ist 2nd and 3rd principal component values? (2 marks) Given a zero-mean dataset (as shown below) consisting of four variables A B, C, and D, calculate the transformed dataset using the 1st principal component value

10. 10 marks) Briefly describe what is principal component analysis (PCA) algorithm. (2 marks) Briefly describe how to obtain the Ist principal component: 2 marks) Given a dataset consisting of 1000 samples and 30 variables, what are the dimen- sions of the transformed dataset using the Ist 2nd and 3rd principal component values? (2 marks) Given a zero-mean dataset (as shown below) consisting of four variables A B, C, and D, calculate the transformed dataset using the 1st principal component values, ie. PC_1. marks) Instance Instance Instance 0.367 0.500 0.000 0.033 ~0.134 ~0.700 00o 0.033 -0.233 0.200 0.000 -0.066 PC_1 = (-0.331,-0.943 , 0.000, 0.013)

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