For all square matrices A and B we have (a) |1 A - Bloo ~ || Allo - II B Ilo (b) |1( I + A)-'ll= 1-JAI (A) Both (a) and (b) are valid. (B) (a) is valid and (b) is invalid. (C) (a) is invalid and (b) is valid. (D) Both (a) and (b) are invalid. O (A) O (B) O (C) O (D)For all square matrices A : (a) A can be LU-decomposed with pivoting. (b) If A is diagonally dominant then it can be LU-decomposed with pivoting without row inter- changes. (A) Both (a) and (b) are valid. (B) (a) is valid and (b) is invalid. (C) (a) is invalid and (b) is valid. (D) Both (a) and (b) are invalid. O (A) O (B) O (C) O (D)