問題詳情
2. (5%) Which of the following is true?
(A) A matrix is invertible if and only if its reduced row echelon form is an identity matrix.
(B) For any two n x n matrices A and B, if AB = In, then A is invertibie and
= B.
(C) If a square matrix has a column consisting of all zeros, then it is not invertible.
(D) If A and B are invertible matrices, then A + B is also invertible.
(E) If A is an n X n matrix such that Ax = b is consistent for every b in Rn, then Ax = bhas a unique solution for every b in R
n.
參考答案
答案:[無官方正解]
難度:計算中-1
書單:沒有書單,新增