Math Problem Statement

Consider a 3 x 4 matrix A. Its echelon form B is obtained by doing the following row operations:

R1=5R1, R1<->R2, R2 = R2+3R1,R3=R3+2R2

Find a matrix E so that EA=B.

Which is the correct answer?

Solution

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Math Problem Analysis

Mathematical Concepts

Matrix Algebra
Elementary Matrices
Row Operations
Echelon Form

Formulas

E = E_4 E_3 E_2 E_1

Theorems

Elementary Matrix Theorem
Matrix Row Operations Theorem

Suitable Grade Level

Grades 10-12