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Find a degree 
Magazine Problem 3
Find the singular values of the given matrix. $$A=\left[\begin{array}{ll}1 & 1 \\\0 & 0\end{array}\right]$$
Problem 4
Find the singular values of the given matrix. $$A=\left[\begin{array}{cc}\sqrt{2} & 1 \\\0 & \sqrt{2}\end{array}\right]$$
Problem 4
Consider the data points (-5,3),(0,3) \((5,2),\) and \((10,0) .\) Compute the least squares error for the given line. In each case, plot the points and the line. $$y=2-x$$
Problem 5
In Exercises 5 and \(6,\) let \(\mathbf{u}=\left[\begin{array}{lllllll}1 & 0 & 1 & 1 & 0 & 0 & 1\end{array}\right]^{T}\) and \(\mathbf{v}=\left[\begin{array}{lllllll}0 & 1 & 1 & 0 & 1 & 1 & 1\end{array}\right]^{T}\). Compute the Hamming norms of \(\mathbf{u}\) and \(\mathbf{v}\).
Problem 5
Find the singular values of the given matrix. $$A=\left[\begin{array}{l}3 \\\4\end{array}\right]$$
Problem 6
Find the best quadratic approximation to f on the interval [-1,1]. $$f(x)=\cos (\pi x / 2)$$
Problem 6
Find the singular values of the given matrix. $$A=\left[\begin{array}{ll}3 & 4\end{array}\right]$$
Problem 6
In Exercises 5 and \(6,\) let \(\mathbf{u}=\left[\begin{array}{lllllll}1 & 0 & 1 & 1 & 0 & 0 & 1\end{array}\right]^{T}\) and \(\mathbf{v}=\left[\begin{array}{lllllll}0 & 1 & 1 & 0 & 1 & 1 & 1\end{array}\right]^{T}\). Compute the Hamming distance between u and v.
Problem 7
Find the singular values of the given matrix. $$A=\left[\begin{array}{rr}0 & 0 \\\0 & 3 \\\\-2 & 0\end{array}\right]$$
Problem 7
Find the least squares approximating line for the given points and compute the corresponding least squares error. $$(1,0),(2,1),(3,5)$$
