SOLUTION: Determine a solution to each of the following linear systems, using the fact that Ax=b is consistent if and only if b is a linear combination of the columns of A:
{1234/2341/341
Algebra.Com
Question 391931: Determine a solution to each of the following linear systems, using the fact that Ax=b is consistent if and only if b is a linear combination of the columns of A:
{1234/2341/3412}{A/B/C/D}={20/20/20}
(Hints:It is {4x3 matrix}{4x1 matrix}={3x1 matrix},slash / mean next row)
P/S:I don't know how to write matrix bracket,hope you will understand
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I used the Matrix function on my TI-84 and got
A = -20
B = 20
C = 0
==========
Cheers,
Stan H.
RELATED QUESTIONS
Show that the system of linear equation AX = B has a unique solution if and only if the... (answered by rothauserc)
For each of the following choices of A and b, determine
whether the system Ax = b is... (answered by Fombitz)
For each of the following choices of A and b, determine if b is in the column space of A... (answered by venugopalramana)
Solve each of the following systems by addition. If a unique solution does not exist,... (answered by venugopalramana)
Given that (3, 2, –6) and (–2, 5, 1) are solutions of two equations in a system of three... (answered by Edwin McCravy)
On a grid, solve the following systems of inequalities.
A) y > -3
x ≤ 2
B)... (answered by lynnlo)
Show that the following system is consistent if and only if c=2a-3b and solve the system... (answered by Edwin McCravy)
trying to graph and label these systems of linear equations. State whether they are... (answered by rfer)
trying to graph and label these systems of linear equations. State whether they are... (answered by ewatrrr)