Question

Use the CS decomposition to solve each of the following problems, even though other approaches are possible. A given A ∈ Mn, m is a contraction if its largest singular value is less than or equal to 1. Let ∈ M2 be unitary. (a) Show that |u11| = |u22| and |u21| = |u12| = (1 − |u11|2)1/2. (b) Show that U is diagonally unitarily similar to a complex symmetric matrix.​

Answer 1

Answer:

Sources of water. Our main sources of water for drinking, washing, agriculture and industry are surface water, groundwater and collected rainwater, all of which are dependent on rain and snow falling on the Earth's surface.