Residuals and Residual Norms
Mark all true statements
1. Residuals are remainders left after successive approximations of a vector
2. Computing the mean is one of the (simplest) ways to approximate a vector
3. A residual can be considered as a measure of deviation of the approximation from the exact solution
4. A residual vector’s Manhattan norm is referred to as its residual norm
5. The larger the residual norm, better the approximation
6. The zero’th residual norm is the square root of the distance of the vector from it’s mean
7. Residual norms are non-increasing
8. The last residual vector is a unit vector
9. It is impossible to construct the original vector from it’s principal components
4) is false. Its the euclidean norm
5) is false. The smaller the norm, the better the approximation
6) is false. This is the 2-norm not the zeroth norm
8) No, it need not be a unit vector
9) false. it is always possible. This statement is false
The rest of the statements are true
Residuals and Residual Norms Mark all true statements 1. Residuals are remainders left after successive approximations o...