Example: Equations with infinitely many solutions

Thursday, 20 June 2019

2:44 PM

Untitled picture.png Select all equations with infinitely many solutions.
Choice
= b, where A =
Ax
Ax
b, where A =
Ax
b where A =
= b where A —
Ax
= b, where A —
Ax = b where A
Ax = b, where A —
Ax b where A
3
o
o
-2
o
0
3
o
-2
2
o
-2
o
-2
o
-2
o
-2
o
o
o
o
o
o
3
3
o
3
o
3
o
0
o
2
-2
-5
-2
o
0
2
-2
-2
-2
2
-2
-5
-2
2
-2
-2
-5
Feedback:
For each of the equations, the augmented matrix (Alb) is already in row echelon form.
The equation Ax = b has infinitely many solutions when the right hand column Of the row-echelon form is non-leading and there is at one
column on the left is non-leading.
Untitled picture.png Machine generated alternative text:
Select all equations with infinitely many solutions.
Choice
4
Ax
Ax
Ax
Ax
Ax
Ax
Ax
Ax
b, where A
b, where A
b, where A
b, where A
b, where A
b, where A
b, where A
b, where A
o
-5
o
-1
o
o
-1
o
o
o
-1
o
o
-5
o
o
-1
o
o
2
o
o
-5
4
o
-2
0
o
-5
-5
o
o
o
o
o
-1
0
-5
-5
o
4
o
o
-1
o
-1
-5
o
4
o
2
o
o
2
-5
4
4
2
-2
o
-1
-2
-1
-1
-2
0
b
b
b
b
4
o
b
b
4
-2
-1
-2
4
-2
-1
-2
-2
-1
-1
-2
-1
Ink Drawings
Ink Drawings
Ink Drawings

Created with Microsoft OneNote 2016.