연세대 선형대수학 족보 2학기-선대시험-1차중간-모범답안 (1)
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연세대 선형대수학 족보 2학기-선대시험-1차중간-모범답안 (1)
시험족보/기타
연세대 선형대수학 족보 2학기-선대시험-1차중간-모범답안 (1)
Problem 1. Indicate whether the statement is true(T) or false(F). Justify your answer. [each 3pt] (1) If A and B are invertible matrices, then A + B is also invertible. (F) Solve Take B = A, and A is an any invertible matrix. Then, A and B are invertible, but A + B = O is not invertible.
Problem 2. Indicate whether the statement is true(T) or
(1) If x0 is a vector in Rn , and if v1 and v2 are nonzero vectors in Rn , then the set of all vectors x = x0 + t1 v1 + t2 v2 (t1 , t2 ∈ R) is a plane. (F)
(2) For nonzero vector a and b in Rn , if a⊥ = b⊥ , then a = b. (F) Solve In R2 , take a = (1, 0) and b = (1, 0). Then, a⊥ = b⊥ is y-axis, but a = b. In general, if a⊥ = b⊥ , then a and b are parallel vectors. (2) A homogeneous linear system with more equations than unknowns has innitely many solutions. (F)
(3) For nonzero vector b ∈ Rn , if Ax = b has innitely many solutions, then so does Ax = 0. (T) Solve If Ax = 0 has only the trivial solution, then Ax = b has a unique solution…(省略)
연세대 선형대수학 족보 2학기-선대시험-1차중간-모범답안 (1) , 연세대 선형대수학 족보 2학기-선대시험-1차중간-모범답안 (1)기타시험족보 , 연세대 선형대수학 족보 학기 선대시험 차중간 모범답안
연세대,선형대수학,족보,학기,선대시험,차중간,모범답안,기타,시험족보
다.
