연세대 선형대수학 ~말-모범답안.pdf 파일정보
연세대 선형대수학 족보 2학기-선대시험-3차기말-모범답안.pdf
연세대 선형대수학 ~-3차기말-모범답안 자료설명
연세대 선형대수학 족보 2학기-선대시험-3차기말-모범답안
연세대 선형대수학 ~범답안 | 문서저장 자료의 목차
Problem 1. Indicate whether the statement is true(T) or (5) If A is a symmetric matrix, then eigenvectors from dierent eigenspaces are orthogonal. (T) false(F). Justify your answer. [each 3pt] (1) If T : Rn → Rn is a linear operator, and if [T ]B = [T ]B with respect to two bases B and B for Rn , then B = B . (F) Solve If T is a zero operator, then [T ]B = O for any basis for R . So [T ]B = [T ]B but B = B . So (λ1 λ2 )(x1 x2 ) = 0 and thus x1 x2 = 0.
n
solve Suppose that x1 ∈ Eλ1 and x
본문내용 (연세대 선형대수학 ~말-모범답안.pdf)
Problem 1. Indicate whether the statement is true(T) or (5) If A is a symmetric matrix, then eigenvectors from dierent eigenspaces are orthogonal. (T) false(F). Justify your answer. [each 3pt] (1) If T : Rn → Rn is a linear operator, and if [T ]B = [T ]B with respect to two bases B and B for Rn , then B = B . (F) Solve If T is a zero operator, then [T ]B = O for any basis for R . So [T ]B = [T ]B but B = B . So (λ1 λ2 )(x1 x2 ) = 0 and thus x1 x2 = 0.
n
solve Suppose that x1 ∈ Eλ1 and x2 ∈ Eλ2 are