GAUSSIAN ELIMINATION

What step should be next?

• Mult. R3 by 0
• Add R2 to R3
•  Mult. R2 by 7 and add to R3
•  Mult. R2 by -7 and add to R3

• (4, 3, -1)

• (3, 8, 9)

• All Real Numbers

• No Solution

What is the solution to the systems of equations represented by the 3x4 Matrix?

• (4, 6, 2)

• (-6, 2, 2)

• All Real Numbers

• No Solutions

Which row command is an appropriate next step?

• 7R2 + R3 -> R3

• -7R1 + R3 -> R3

• 7R3 -> R3

• -7R2 + R3 -> R3

Jessica is simplifying the matrix using Gaussian Elimination. Did she complete the step correctly?

• No, she should have changed the 2 to a zero and multiplied -2 by R2 and added R1

• No, she wanted to change the 3 to a zero so she should have multiplied R2 by -3 and added it to R3

• Yes. When you need a zero you multiply by the number's reciprocal.

• No. 3 x 1/3 = 1

What is the solution to the systems of equations represented by the 3x4 Matrix?

• (4, 6, 2)

• (-6, 2, 2)

• All Real Numbers

• No Solutions

A _____ is a rectangular arrangement of numbers.

• matrix
• dimension
• coefficient
• system

A matrix derived from a system of linear equations is the _____ _____ of the system.

• augmented matrix
• constant matrix
• linear matrix
• coefficient matrix

What is the solution to the system?

• (-20, -6, -9)

• (3, 2, 0)

• All Real Numbers

• No Solution

Solve!

• (2,7,5)
• (-8,7,5)
• (-8,2,5)
• (-3,2,5)