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categoryرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
1 -4-3
Let A = -3 3 0
b₁
and b=
b₂
Show that the equation Ax = b does not have a solution for all possible b, and describe the set of all b for which Ax=b does have a solution.
4
2 6
b3
How can it be shown that the equation Ax = b does not have a solution for all possible b? Choose the correct answer below.
OA. Row reduce the augmented matrix [ A b ] to demonstrate that [ A b ] has a pivot position in every row.
OB. Find a vector b for which the solution to Ax = b is the zero vector.
OC. Row reduce the matrix A to demonstrate that A has a pivot position in every row.
D. Row reduce the matrix A to demonstrate that A does not have a pivot position in every row.
OE. Find a vector x for which Ax = b is the zero vector.
Describe the set of all b for which Ax = b does have a solution.
0=
(Type an expression using b₁, b₂, and b3 as the variables and 1 as the coefficient of b 3.)
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