Section 1.5 Problem 1. Mark each statement True or False, and justify your answer. (T/F) A homogeneous equation is always consistent. (T/F) If x is a nontrivial solution of Ax=0, then every entry in x is nonzero. (T/F) The equation Ax=0 gives an explicit description of its solution set. (T/F) The equation x=xutxv, with x and x free (and neither u nor va multiple of the other), describes a plane through the origin. (T/F) The homogeneous equation Ax=0 has the trivial solution if and only if the equation has at least one free variable. (T/F) The equation Ax-b is homogeneous if the zero vector is a solution. (T/F) The equation x=p+ tv describes a line through v parallel to p. (T/F) The effect of adding p to a vector is to move the vector in a direction parallel to p.

Section 1.5 Problem 1. Mark each statement True or False, and justify your answer. (T/F) A homogeneous equation is always consistent. (T/F) If x is a nontrivial solution of Ax=0, then every entry in x is nonzero. (T/F) The equation Ax=0 gives an explicit description of its solution set. (T/F) The equation x=xutxv, with x and x free (and neither u nor va multiple of the other), describes a plane through the origin. (T/F) The homogeneous equation Ax=0 has the trivial solution if and only if the equation has at least one free variable. (T/F) The equation Ax-b is homogeneous if the zero vector is a solution. (T/F) The equation x=p+ tv describes a line through v parallel to p. (T/F) The effect of adding p to a vector is to move the vector in a direction parallel to p.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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