申論題

Notation: In the following questions, boldface letters such as a, b, etc. denote columns vectors of proper length； boldface letters such as A, B etc. denote matrices of proper size； A^T means the transpose of matrix A, and A^H is the Hermitian transpose (a.k.a. conjugate transpose) of A； means the inverse of matrix A. I_n is the (n ✖n) identity matrix. |lal means the Euclidean norm of vector a. By we mean A is an m xn real - value matrix. Null(A) is the null space, Col(A) the column space, and Row(A) the row space of A respectively. 
 一、(10%,計算題) Given an invertible matrix , a nonzero matrix , and an augmented matrix C=

 . For each statement that follows, please answer true or false. And you MUST explain or prove your answer.