Solving Systems with Augmented Matrices Lesson (2025)

Reduced Row Echelon Form

Rally Row Extinct Form

Rounded Row Engineering Form

Random Reduced Emerging Form

the first part of the solution matrix will look like the identity matrix

The solution matrix will be a square matrix

One of the rows in the solution matrix will have all zeros

One of the rows in the solution matrix will have zeros and 1 number.

The first part of the solution matrix will look like the identity matrix

The solution matrix will be a square matrix

One of the rows in the solution matrix will have all zeros

One of the rows in the solution matrix will have zeros and 1 number.

the first part of the solution matrix will look like the identity matrix

The solution matrix will be a square matrix

One of the rows in the solution matrix will have all zeros

One of the rows in the solution matrix will have zeros and 1 number.

In the matrix menu

In the function window

In the mode function

in the math menu

2nd

x^-1

alpha

zoom

arrow up

arrow right

arrow down

arrow left

A:

B:

1:

8:

arrow up 5

arrow down 2

arrow to EDIT

2nd

x^-1

alpha

zoom

yes

no

1 1 1 -3

1 -1 1

1 -1 1 -3

1 1 1 3

1 -1 -1 -3

1 -1 -1

1 -1 1 -3

1 1 1 -3

5 5 1 -15

5 -5 1 -15

5 -5 0 -15

5 5 1 15

1 -1 0 -3

0 0 1 0

0 0 0 0

Unique Solution:

( 2, 1, 6)

infinitely many solutions

No solution

(3, 1, -5)

(-3, 1, -1)

infinitely many solutions

no solution

A

B

C

D

No Solution

$$\left(5,-\frac{7}{3},0\right)$$

No Solution

Infinite Solution

$$\left(-5,\frac{7}{3},0\right)$$

$$\left(5,-\frac{7}{3},0\right)$$

No Solution

Infinite Solution

$$\left(-5,\frac{7}{3},0\right)$$