Perform the sequence of row operations on the matrix. What did the operations accomplish? Show all work.
(a) Add -4 times R₁ to R₂.
(b) Add -4 times R₁ to R₃.
(c) Add 2 times R₂ to R₃.
(d) Add 1 times R₂ to R₁.

Question

Perform the sequence of row operations on the matrix. What did the operations accomplish? Show all work.

(a) Add -4 times R₁ to R₂.
(b) Add -4 times R₁ to R₃.
(c) Add 2 times R₂ to R₃.
(d) Add 1 times R₂ to R₁.

Quizplus · Accepted Answer

The Answer is (a) Add -4 times R₁ to R₂. (a) Add -4 times R1 to R2. (b) Add -4 times R1 to R3. (c) Add 2 times R2 to R3. (d) Add 1 times R2 to R1. The operations produce a row-equivalent matrix in reduced row-echelon form.

(a) Add -4 times R<sub>1</sub> to R<sub>2</sub>. (b) Add -4 times R<sub>1</sub> to R<sub>3</sub>. (c) Add 2 times R<sub>2</sub> to R<sub>3</sub>. (d) Add 1 times R<sub>2</sub> to R<sub>1</sub>. The operations produce a row-equivalent matrix in reduced row-echelon form.

(b) Add -4 times R₁ to R₃. (a) Add -4 times R1 to R2. (b) Add -4 times R1 to R3. (c) Add 2 times R2 to R3. (d) Add 1 times R2 to R1. The operations produce a row-equivalent matrix in reduced row-echelon form.

(c) Add 2 times R₂ to R₃. (a) Add -4 times R1 to R2. (b) Add -4 times R1 to R3. (c) Add 2 times R2 to R3. (d) Add 1 times R2 to R1. The operations produce a row-equivalent matrix in reduced row-echelon form.

(d) Add 1 times R₂ to R₁. (a) Add -4 times R1 to R2. (b) Add -4 times R1 to R3. (c) Add 2 times R2 to R3. (d) Add 1 times R2 to R1. The operations produce a row-equivalent matrix in reduced row-echelon form.

The operations produce a row-equivalent matrix in reduced row-echelon form.

Perform the Sequence of Row Operations on the Matrix