Least Squares and SVD

The least squares problem always has infinitely many solutions.

• True

• False

In the singular value decomposition of A, the largest singular value is equal to

• The 1-norm of A.

• The 2-norm of A.

• The infinity-norm of A.

• Not a norm of A.

The pseudoinverse of a nonzero column vector x is

• x

• x^T

• x^T/(x^Tx)

• -x^Tx

The sensitivity of the solution to the least squares problem to perturbations in the data is always measured by kappa(A)

• True

• False

Which of these applications does NOT normally make use of the singular value decomposition.

• Google Maps

• Google PageRank

• Image deblurring

• Recommender systems

This man, Cleve Moler, turned 80 five years ago. What did he invent?

• Bitcoin.

• The C programming language.

• The Python programming language.

• MATLAB.