Solving Equations Using Matrices

What is an appropriate first row command to solve this by Gaussian Elimination?

• 2R2 + R2 -> R2

• -2R1 + R2 -> R2

• R3 +R2 --> R3

• 2R1 + R2 --> R2

This is an example of a

• System of Quadratic Equations

• Reduced Row Echelon Form

• Augmented Matrix

• Row Echelon Form

Solve!

• (2,7,5)

• (-8,7,5)

• (-8,2,5)

• (-3,2,5)

What is the solution to the 4x5 Matrix?

• ( 3, 4, 9, 6 )

• ( 3, 4, 9, -6 )

• ( -6, 9, 4, 3 )

• ( 6, 9, 4, 3 )

Solve the systems of equation using matrices.

• (4, 3, -1)

• (3, 8, 9)

• All Real Numbers

• No Solution

Solve the system using matrices.

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

Solve the system of equations.

• (2, -4, -1)

• (4, -1, -2)

• (-2, 4, 1)

• (-2, 4, -1)

(CALCULATOR)

• x=-1

  y=2

  z=-2

• x=2

  y=1

  z=-1

• x=-2

  y=-1

  z=-2

• x=2

  y=2

  z=-1

What is the solution represented by this matrix?

• (2,3,5,0)

• (2,3,4,5)

• Infinite Solutions

• No Solution

A _____ is a rectangular arrangement of numbers.

• matrix

• dimension

• coefficient

• system