Question

There exists a matrix which does not have a singular value decomposition. O True O False

Answer 1

False

Explanation:

The singular value decomposition exits for any matrix
`m* n` (the values entries could be real or complex). Since
`m` could be equal to
`n`, the singular value decomposition of a square matrix also exits. So the statement is false, all real or complex matrix has a singular value decomposition.