In the following question there are statements which are TRUE and statements which are FALSE. Choose all the statements which are FALSE. 1. If the number of equations in a linear system exceeds the number of unknowns, then the system must be inconsistent - thus no solution. 2. If B has a column with zeros, then AB will also have a column with zeros, if this product is defined. 3. If AB + BA is defined, then A and B are square matrices of the same size/dimension/order. 4. Suppose A is an n xn matrix and assume A? = 0, where O is the zero matrix. Then A = O. 5. If A and B are n x n matrices such that AB = 1, then BA = 1, where I is the identity matrix. A. 1 B. 2 C. 3 D. 4 E. 5

In the following question there are statements which are TRUE and statements which are FALSE. Choose all the statements which are FALSE. 1. If the number of equations in a linear system exceeds the number of unknowns, then the system must be inconsistent - thus no solution. 2. If B has a column with zeros, then AB will also have a column with zeros, if this product is defined. 3. If AB + BA is defined, then A and B are square matrices of the same size/dimension/order. 4. Suppose A is an n xn matrix and assume A? = 0, where O is the zero matrix. Then A = O. 5. If A and B are n x n matrices such that AB = 1, then BA = 1, where I is the identity matrix. A. 1 B. 2 C. 3 D. 4 E. 5

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section9.1: The Graphing Method

Problem 2CE

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