Question

Determine if the equation Ax = b is consistent for all possible b_1, b_2, b_3 If the equation is not consistent for all possible b_1, b_2, b_3 give a description of the set of all b for which the equation is consistent(that is, a condition which must be satisfied by b_1, b_2, b_3). A = [ 1 -3 2 ; -2 5 -1 ; 3 -4 -2 ] b = [ b_1 ; b_2 ; b_3 ]

          Determine if the equation
Ax = b
is consistent for all possible
b_1, b_2, b_3
If the equation is not consistent for all possible
b_1, b_2, b_3
give a description of the set of all b for which the equation is consistent(that is, a condition which must be satisfied by b_1, b_2, b_3).
A = [ 1 -3 2 ; -2 5 -1 ; 3 -4 -2 ] b = [ b_1 ; b_2 ; b_3 ]

Determine if the equation
Ax = b
is consistent for all possible
b1, b2, b3
If the equation is not consistent for all possible
b1, b2, b3
give a description of the set of all b for which the equation is consistent(that is, a condition which must be satisfied by b1, b2, b3).
A = [ 1 -3 2 ; -2 5 -1 ; 3 -4 -2 ] b = [ b1 ; b2 ; b3 ]

Added by George M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Supreeta N

05/03/2023

Step 1

A = \begin{bmatrix} -3 & 2 & 2 \\ 5 & -1 & -2 \\ 0 & 0 & 0 \end{bmatrix} We can perform the following row operations to find the RREF of A: Show more…

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Determine if the equation Ax = b is consistent for all possible b1, b2, b3. If the equation is not consistent for all possible b1, b2, b3, give a description of the set of all b for which the equation is consistent (that is, a condition which must be satisfied by b1, b2, b3).