Research Space for Linear Algebra & Discrete Mathematics
答案應該沒問題, 但寫法上可能要再generalized一些, 而不是只取一組u1,u2來做, 譬如: 令 u = x(u1) + y(u2) => x = <u,u1>/<u1,u1> = <u,u1> = 1/2, y = <u,u2>/<u2,u2> = <u,u2>=> <u,u> = <(u1)/2+y(u2),(u1)/2+y(u2)>=> 1 = 1/4 + y^2=> |y| = |(u^T)(u2)|= sqrt(3/4)
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1 則留言:
答案應該沒問題, 但寫法上可能要再generalized一些, 而不是只取一組u1,u2來做, 譬如:
令 u = x(u1) + y(u2)
=> x = <u,u1>/<u1,u1> = <u,u1> = 1/2,
y = <u,u2>/<u2,u2> = <u,u2>
=> <u,u> = <(u1)/2+y(u2),(u1)/2+y(u2)>
=> 1 = 1/4 + y^2
=> |y| = |(u^T)(u2)|= sqrt(3/4)
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