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(Solved): Let A=[[1,-3,-2],[-2,2,0],[4,0,4]] and b=[[b_(1)],[b_(2)],[b_(3)]]. Show that the equation Ax=b doe ...



Let

A=[[1,-3,-2],[-2,2,0],[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_(2)

and describe the set of all

b

for which Ax

=b

does have

a

solution. How can it be shown thas the equation

Ax=b

does not have a solutise for all possoble

b

? Chosse the coerect answer belowc A. Row reduce the matrix Ato demonstrate that A does not have a pivot position in every row. B. Row reduce the matric A to demonstrate that A has a pivot position in every row. C. Find a vector

x

for which

Ax=b

is the zero wector. D. Row reduce the augmented matrix

AB

to demonstrate that

AB

has a pivot position in every sow E. Find a vector

b

for which the solution to

Ax=b

is the zero vector. Describe the set of all

b

for which

Ax=b

does have a solution

0=

(Type an expcession using

b_(1),b_(2)

, and

b_(y)

as the variables and 1 as the coeficient of by.)



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