Write the solution set of the related homogeneous system, A to the following matrix. 1 - 14 0 1 6 (Note: If ; is not a free variable, enter "DNE" in the associated answer box.) To write a column vector, select Matrix from the Math Palette, click 2 x 2 to initially create a 2 x 2 matrix, then click -Col to remove a column. From there, you can click +Row if you need to add a row. +x4 +x2 +x3 [(8),(-6), (1),(0)] ✓ x = x1 [(-2),(-6), (0),(1)] = : Ō, in parametric form if A is row equivalent -1 -4 6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I need help with this problem I did x3 and x4 and i dont know what is x1 and x2 please explain

Write the solution set of the related homogeneous system, Aữ = 0, in parametric form if A is row equivalent
to the following matrix.
- 14
[1
6
(Note: If xi is not a free variable, enter "DNE" in the associated answer box.)
To write a column vector, select Matrix from the Math Palette, click 2 × 2 to initially create a 2 × 2 matrix,
then click -Col to remove a column. From there, you can click +Row if you need to add a row.
+x2
+x3| [【(8),(−6),(1),(0)] ✓ O + x4
x
= x1
[(−2),(-6),(0),(1)]
1
-41
6
Transcribed Image Text:Write the solution set of the related homogeneous system, Aữ = 0, in parametric form if A is row equivalent to the following matrix. - 14 [1 6 (Note: If xi is not a free variable, enter "DNE" in the associated answer box.) To write a column vector, select Matrix from the Math Palette, click 2 × 2 to initially create a 2 × 2 matrix, then click -Col to remove a column. From there, you can click +Row if you need to add a row. +x2 +x3| [【(8),(−6),(1),(0)] ✓ O + x4 x = x1 [(−2),(-6),(0),(1)] 1 -41 6
Expert Solution
Step 1

What is Row Reduced Echelon Form:

A matrix has been subjected to Gaussian elimination on the rows when it is in row echelon form and on the columns when it is in column echelon form. It is easy to see how column echelon form shares the same properties by transposing all the matrices. In order for a matrix to be in row echelon form, which happens when all zero-filled rows are at the bottom, the leading coefficient, also known as the pivot, of a nonzero row must always be exactly to the right of the leading coefficient of the row above it.

Given:

The matrix A is the row reduced echelon form of the matrix 1-1-14-40166

To Determine:

We write the solution set of the homogeneous system Ax=0 in parametric form.

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