16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 1.2.2

Systems of Linear Equations

Mathematics — Linear Algebra · equivalent-linear-systems

Problem

Let FF be the field of complex numbers. Are the following two systems of linear equations equivalent? If so, express each equation in each system as a linear combination of the equations in the other system. x1−x2=03x1+x2=02x1+x2=0x1+x2=0\begin{array}{ll} x_1 - x_2 = 0 & 3x_1 + x_2 = 0 \\ 2x_1 + x_2 = 0 & x_1 + x_2 = 0 \end{array}

Related theory

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