16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 1.3.3

Systems of Linear Equations

Mathematics — Linear Algebra · row-reduction-eigenvalue-equations

Problem

A = \begin{bmatrix} 6 & -4 & 0 \\ 4 & -2 & 0 \\ -1 & 0 & 3 \end{bmatrix}

find all solutions of

AX = 2X

and all solutions of

AX = 3X

. (The symbol

cX

denotes the matrix each entry of which is

c

times the corresponding entry of

X