Let
A=[[1,-2,-1],[-4,4,0],[4,0,4]]
and
b=[[b_(1)],[b_(2)],[b_(3)]]
. Show that the equation
Ax=b
does not have a solution for all possible
b
, and describe the sel of all
b
for which Ax
=b
does have
a
solution. How can
&
be shown that the equation
Ax=b
does not have a solution for all possible
b
? Chsose the correct answer below B. Row reduce the matric A to demonstrate that
A
has a pivot position in every row. C. Rowe reduce the matrix A to demsnstrate that A does not hame a pivet position in every row. D. Find a vector
x
for which
Ax=b
is the zero vector E. Find a vector
b
for which the solution to
Ax=b
is the zero vector