The given matrix is the augmented matrix for a system of linear equations. Give the vector form for the general solution. begin{bmatrix}1&0&-1&-2&00&1&2&3&0end{bmatrix}

babeeb0oL

babeeb0oL

Answered question

2021-02-08

The given matrix is the augmented matrix for a system of linear equations. Give the vector form for the general solution. [1012001230]

Answer & Explanation

Mayme

Mayme

Skilled2021-02-09Added 103 answers

The given matrix is
[1012001230]
Since A is in reduced echelon form , we find the general solution
x1x32x4=0
x2+2x3+3x4=0
Then
(1)x1=x3+2x4
(2)x2=2x33x4
In vectors form , the general solution , we obtain
x=[x1x2x3x4]=[x3+2x42x33x4x3x4]=[x32x3x30]+[2x43x40x4]=x3[1210]+x4[2301]
Hence ,
x=x3[1210]+x4[2301]

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Linear algebra

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?