Solving Systems by Gaussian Elimination

When an element is missing in an equation, what value must go into the matrix for it?

• 1

• -1

• 0

• NA

Tags

CCSS.HSA.REI.C.8

What is another name for Gaussian elimination?

• Elimination

• Substitution

• Augmented Matrix

• Row Echelon Form

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which rule is not correct for Gaussian elimination?

• Multiple rows by constant.

• Add/Subtract rows with rows.

• Divide by a constant

• Add/Subtract a number to a row.

• Swap rows

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What will be the matrix size for this system?

• 3x3

• 3x3

• 4x3

• 3x4

Tags

CCSS.HSA.REI.C.8

Which of the following is in Row Echelon Form?

• A

• B

• C

• D

Tags

CCSS.HSA.REI.C.8

Can the system of equations be solved without performing any further row operations? Why or why not?

• No, you need to continue row operations until you get a row with all zeros on the left side.

• Yes, the last row tells you what z is, you can use that in the second row to find y, and you can use both in the first row to find x.

• Yes, you can tell from these rows that there are infinitely many solutions because one row is a multiple of another row.

• No, you need to continue row operations until you get all zeros and ones on the right side.

Solve!
4x+8y=20
-4x+2y=-30

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations:

• (3,4)
• (-3,-4)
• (-3,4)
• (3,-4)

Tags

CCSS.HSA.REI.C.9

Solve!

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

Solve!

• (1,1,1)
• (7, 4, -36)
• (1,4,6)
• (7,4,6)