Consider the linear system Without attempting to solve the

Chapter , Problem 3RP

(choose chapter or problem)

Consider the linear system \(\mathbf{X}^{\prime}=\left(\begin{array}{rrr} 4 & 6 & 6 \\ 1 & 3 & 2 \\ -1 & -4 & -3 \end{array}\right) \mathbf{X}\) Without attempting to solve the system, determine which one of the vectors \(\mathbf{K}_{1}=\left(\begin{array}{l} 0 \\ 1 \\ 1 \end{array}\right)\), \(\mathbf{K}_{2}=\left(\begin{array}{l} 1 \\ 1 \\ -1 \end{array}\right)\), \(\mathbf{K}_{3}=\left(\begin{array}{l} 3 \\ 1 \\ -1 \end{array}\right)\), \(\mathbf{K}_{4}=\left(\begin{array}{l} 6 \\ 2 \\ -5 \end{array}\right)\)

Text Transcription:

mathbf X^prime = ({array} rrr 4 & 6 & 6 \\ 1 & 3 & 2 \\ -1 & -4 & -3 {array}) mathbf X

mathbf K_1 = ({array} l 0 \\ 1 \\ 1 {array})

mathbf K_2 = ({array} l 1 \\ 1 \\ -1 {array})

mathbf K_3 = ({array} l 3 \\ 1 \\ -1 {array})

mathbf K_4 = ({array} l 6 \\ 2 \\ -5 {array})