Suppose A is a 3 x 3 matrix whose only eigenvalues are 1= -1,0,3, and suppose B is a 4 x 4 matrix whose only eigenvalues are = -2, 2, 4. For each of the following statements, answer %3D • TRUE if the statement must be true, • FALSE if the statement must be false, or • NOT ENQUGH INFO if there is not enough given information to determine if the statement is true or false. A is invertible. B is invertible. A is diagonalizable. i. ii. iii.

Suppose A is a 3 x 3 matrix whose only eigenvalues are 1= -1,0,3, and suppose B is a 4 x 4 matrix whose only eigenvalues are = -2, 2, 4. For each of the following statements, answer %3D • TRUE if the statement must be true, • FALSE if the statement must be false, or • NOT ENQUGH INFO if there is not enough given information to determine if the statement is true or false. A is invertible. B is invertible. A is diagonalizable. i. ii. iii.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 3CEXP

See similar textbooks

Similar questions

Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]
Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
Find two 22 matrices such that |A|+|B|=|A+B|.
Determine all nn symmetric matrices that have 0 as their only eigenvalue.
Show that A=[0110] has no real eigenvalues.