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(Solved): 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 doe ...



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



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