For x = (x, x2), = (y, y2) R, define (x, y) = 9x1y1...

 

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For x = (x₁, x2), ý = (y₁, y2) € R², define (x, y) = 9x1y1 + 3x2Y2. (a) Prove that this is an inner product on R². (b) Find (x, y), where = (-2, 1) and y = (3,-4). (c) Find ||Z| where z = (1, -3). For x = (x₁, x2), ý = (y₁, y2) € R², define (x, y) = 9x1y1 + 3x2Y2. (a) Prove that this is an inner product on R². (b) Find (x, y), where = (-2, 1) and y = (3,-4). (c) Find ||Z| where z = (1, -3).