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Linear transformation

Let T be a linear transformation that maps Rn onto Rn. Show that T-1 exists and maps Rn onto Rn. Is T-1 also one-to-one? If so, prove it. If not, prove that instead.

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## Q : Draw the scatter plot for the variables

(a) Draw the scatter plot for the variables. (b) Compute the correlation coefficient. Use three decimal places.