Let A be annxn matrix. Which of the following statements is/are NOT equivalent to that A is invertible? i) The columns of A' form a basis for R". ii) The nullity of A' is 0. iii) The non-homogeneous system A'X= b has a unique solution for any choice of b in R". iv) O is not an eigenvalue for A'. ii) and ii) only iv) only i) and iv) only ii), ii), and iv) only iii) and iv) only

Let A be annxn matrix. Which of the following statements is/are NOT equivalent to that A is invertible? i) The columns of A' form a basis for R". ii) The nullity of A' is 0. iii) The non-homogeneous system A'X= b has a unique solution for any choice of b in R". iv) O is not an eigenvalue for A'. ii) and ii) only iv) only i) and iv) only ii), ii), and iv) only iii) and iv) only

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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