Matrix Elimination

Which of the following is the correct representation for the system of equations?

• A

• B

• C

• D

What step should be next to put into Row Echelon form?

• Divide R3 by -6

• Mult. R1 by 0

• Mult. R2 by -3 and add to R1

• Add R3 to R2

Write the equation as an augmented matrix.

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Write the augmented matrix in row echelon form.

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Write the system of linear equations for the augmented matrix.

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Find row echelon form and solve.

• (52, 4, 36)

• (4, 1, 6)

• (-53, 4, -36)

• (1, 4, 6)

Find row echelon form and solve.

• (2,7,5)

• (-8,7,5)

• (-8,2,5)

• (-3,2,5)

What will be the matrix size for this system?

• 3x3

• 3x3

• 4x3

• 3x4

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.

Which rule is not correct for Gaussian elimination?

• Multiply rows by constant.

• Add/Subtract rows with rows.

• Add/Subtract a number to a row.

• Swap rows