First write the given homogeneous system in the matrix form Ax = 0. Then find the solution in vector form. x1 - 6x3 + 5x4 = X2 + 8x3 - 3x4 = 0 Write the given homogeneous system in the matrix form Ax = 0. X1 1 0 -6 X2 0 1 8 - 3 X3 X4 (Simplify your answers.) Find the solution in vector form. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. There are infinitely many solutions of the form x = sx,, where s is an arbitrary parameter and x, = O B. There are infinitely many solutions of the form x = sx, + tx2, where s and t are arbitrary parameters and {x,x2} = {} (Use a comma to separate vectors as needed.) O C. There is a unique solution, x = O D. There is no solution.

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Chapter7: Matrices And Determinants
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First write the given homogeneous system in the matrix form
Ax=0.
Then find the solution in vector form.

 

First write the given homogeneous system in the matrix form Ax = 0. Then find the solution in vector form.
X1
- 6x3 + 5x4 = 0
X2 + 8x3 - 3x4 =0
Write the given homogeneous system in the matrix form Ax = 0.
X1
10 -6
X2
0 1
8 -3
X3
X4
(Simplify your answers.)
Find the solution in vector form. Select the correct choice below and, if necessary, fill in the answer box within your
choice.
O A. There are infinitely many solutions of the form x = sx,, where s is an arbitrary parameter and x, =
O B. There are infinitely many solutions of the form x = sx, + tx2, where s and t are arbitrary parameters and
{x,x2} = {}
(Use a comma to separate vectors as needed.)
O C. There is a unique solution, x =
O D. There is no solution.
LO
Transcribed Image Text:First write the given homogeneous system in the matrix form Ax = 0. Then find the solution in vector form. X1 - 6x3 + 5x4 = 0 X2 + 8x3 - 3x4 =0 Write the given homogeneous system in the matrix form Ax = 0. X1 10 -6 X2 0 1 8 -3 X3 X4 (Simplify your answers.) Find the solution in vector form. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. There are infinitely many solutions of the form x = sx,, where s is an arbitrary parameter and x, = O B. There are infinitely many solutions of the form x = sx, + tx2, where s and t are arbitrary parameters and {x,x2} = {} (Use a comma to separate vectors as needed.) O C. There is a unique solution, x = O D. There is no solution. LO
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