[All Steps] Consider the homogeneous system of 2 equation in 4 unknowns with coefficient matrix


Question: Consider the homogeneous system of 2 equation in 4 unknowns with coefficient matrix

\[A=\left[\begin{array}{llll} 1 & 1 & 0 & 1 \\ 0 & 0 & 1 & 1 \end{array}\right]\]
  1. Determine a basis for the null space \(U\) of \(A\).
  2. Use the Gram-Schmidt process to determine a orthonormal basis of U (Show your work!)
  3. Show that the vector \(w=\left[\begin{array}{c}3 \\ -1 \\ 2 \\ -2\end{array}\right]\) is in U and write it as a linear combination of the orthonormal basis found above.

Price: $2.99
Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document

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