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Let A be an $m \times n$ matrix. If the rank of A is 5 and the nullity of A is 5, then $n = $\\ Let S be a set containing the two column matrices shown $S = \left\{ \begin{bmatrix} 1\\0\\1 \end{bmatrix}, \begin{bmatrix} 0\\1\\1 \end{bmatrix} \right\}$. Let the first column be $\vec{u_1}$ and the second column be $\vec{u_2}$\\ Let $\vec{v} = \begin{bmatrix} 2\\1\\3 \end{bmatrix}$. Find the projection of $\vec{v}$ onto S. First normalize S. Then calculate $<\alpha \vec{v}, \vec{u_1}> \vec{u_1} + <\vec{v}, \vec{u_2}> \vec{u_2}$.

          Let A be an $m \times n$ matrix. If the rank of A is 5 and the nullity of A is 5, then $n = $\\
Let S be a set containing the two column matrices shown $S = \left\{ \begin{bmatrix} 1\\0\\1 \end{bmatrix}, \begin{bmatrix} 0\\1\\1 \end{bmatrix} \right\}$. Let the first column be $\vec{u_1}$ and the second column be $\vec{u_2}$\\
Let $\vec{v} = \begin{bmatrix} 2\\1\\3 \end{bmatrix}$. Find the projection of $\vec{v}$ onto S. First normalize S. Then calculate $<\alpha \vec{v}, \vec{u_1}> \vec{u_1} + <\vec{v}, \vec{u_2}> \vec{u_2}$.

Let A be an m × n matrix. If the rank of A is 5 and the nullity of A is 5, then n =

Let S be a set containing the two column matrices shown S = {
< b m a t r i x >
,
< b m a t r i x >
}. Let the first column be u⃗1⃗ and the second column be u⃗2⃗

Let v⃗ =
< b m a t r i x >. Find the projection of v⃗ onto S. First normalize S. Then calculate <αv⃗, u⃗1⃗> u⃗1⃗ + <v⃗, u⃗2⃗> u⃗2⃗.

Added by Brenda C.

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