Y1 y2 ⁄ 2 R2, its matrix relative to the standard basis E = ' e1;e2 " is A = • he1;e1i he1;e2i he2;e1i he2;e2i ‚ = • 2 ¡1 ¡1 5 ‚ The inner product can be written as hx;yi = xTAy = x1;x2 • 2 ¡1 ¡1 5 ‚• y1 y2 ‚ We may change variables so the the inner product takes a simple form For instance, let ‰ x 1= (2=3)x0 (1=3)x0 2 x 2= (1=3)x0 1 ¡(1=3)x0;STA 247 — Answers for practice problem set #1 Question 1 The random variable X has a range of {0,1,2} and the random variable Y has a range of {1,2}Compute answers using Wolfram's breakthrough technology &
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