-2 For a normalized 2-D data set X = -1 0, (a) If X need to be transformed to a new co-ordinate system for capturing maxi- mum variance, what will be percentage of variance captured by each directions of that co-ordinate system (b) Compute the corresponding directions of maximum variance (c) Transform X to those co-ordinates that capture at least 95% of the variance.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1 -2
-1 -1 0,
For a normalized 2-D data set X =
%3|
(a) If X need to be transformed to a new co-ordinate system for capturing maxi-
mum variance, what will be percentage of variance captured by each directions
of that co-ordinate system
(b) Compute the corresponding directions of maximum variance
(c) Transform X to those co-ordinates that capture at least 95% of the variance.
3.
Transcribed Image Text:1 -2 -1 -1 0, For a normalized 2-D data set X = %3| (a) If X need to be transformed to a new co-ordinate system for capturing maxi- mum variance, what will be percentage of variance captured by each directions of that co-ordinate system (b) Compute the corresponding directions of maximum variance (c) Transform X to those co-ordinates that capture at least 95% of the variance. 3.
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