- #1

- 699

- 5

Let

\begin{array}{cc|l}

1 \\

1 \\

7 \

\end{array}

[/tex]

write

\begin{array}{cc|l}

1/{3\sqrt{2}} \\

1/{3\sqrt{2}} \\

-4/{3\sqrt{2}} \

\end{array}

[/tex]

\begin{array}{cc|l}

2/3 \\

2/3 \\

1/3 \

\end{array}

[/tex]

\begin{array}{cc|l}

1/\sqrt{2} \\

-1/\sqrt{2} \\

0 \

\end{array}

[/tex]

I first did the rref of u and then wrote x in terms of the linear combination but it isn't the same as using the sum which I am not sure how to do.

**x**=[tex]\begin{array}{cc|l}

1 \\

1 \\

7 \

\end{array}

[/tex]

write

**x**as a linear combination of**u**using theorem.**u**_{1}=[tex]\begin{array}{cc|l}

1/{3\sqrt{2}} \\

1/{3\sqrt{2}} \\

-4/{3\sqrt{2}} \

\end{array}

[/tex]

**u**_{2}=[tex]\begin{array}{cc|l}

2/3 \\

2/3 \\

1/3 \

\end{array}

[/tex]

**u**_{3}=[tex]\begin{array}{cc|l}

1/\sqrt{2} \\

-1/\sqrt{2} \\

0 \

\end{array}

[/tex]

**v**=[tex]\sum^n_{i=1} c_{i}**u**_{i}[/tex]I first did the rref of u and then wrote x in terms of the linear combination but it isn't the same as using the sum which I am not sure how to do.

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