Find a Least-Squares Solution of the Inconsistent System Ax =

question 4

Multiple Choice

Find a least-squares solution of the inconsistent system Ax = b.
- $$\mathrm { A } = \left[ \begin{array} { l l } 1 & 2 \\3 & 4 \\5 & 9\end{array} \right] , \mathrm { b } = \left[ \begin{array} { l } 1 \\5 \\1\end{array} \right]$$

• A)
• \[\left[ \begin{array} { c }
• \frac { 73 } { 1754 } \\
• - \frac { 77 } { 3508 }
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { c }
• \frac { 121 } { 42 } \\
• - \frac { 51 } { 28 }
• \end{array} \right]\]
• C)
• \(\left[\begin{array}{l}
• -\frac{2}{21} \\
• -\frac{11}{6}
• \end{array}\right]\)
• D)
• \(\left[\begin{array}{c}
• \frac{146}{27} \\
• -\frac{77}{27}
• \end{array}\right]\)

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Definitions:

Paradoxical

Something that appears self-contradictory or absurd but in reality expresses a possible truth.

Hypnagogic

Relating to the transitional state immediately before falling asleep, characterized by vivid sensory phenomena.

REM Rebound

The phenomenon of increased REM sleep experienced after a period of REM sleep deprivation.

REM Sleep

A stage of sleep characterized by rapid eye movements, more dreaming, and bodily movement, and faster pulse and breathing.