[powershell] How to test for $null array in PowerShell

The other answers address the main thrust of the question, but just to comment on this part...

PS C:\> [array]$foo = @("bar")
PS C:\> $foo -eq $null
PS C:\>

How can "-eq $null" give no results? It's either $null or it's not.

It's confusing at first, but that is giving you the result of $foo -eq $null, it's just that the result has no displayable representation.

Since $foo holds an array, $foo -eq $null means "return an array containing the elements of $foo that are equal to $null". Are there any elements of $foo that are equal to $null? No, so $foo -eq $null should return an empty array. That's exactly what it does, the problem is that when an empty array is displayed at the console you see...nothing...

PS> @()
PS> 

The array is still there, even if you can't see its elements...

PS> @().GetType()

IsPublic IsSerial Name                                     BaseType
-------- -------- ----                                     --------
True     True     Object[]                                 System.Array


PS> @().Length
0

We can use similar commands to confirm that $foo -eq $null is returning an array that we're not able to "see"...

PS> $foo -eq $null
PS> ($foo -eq $null).GetType()

IsPublic IsSerial Name                                     BaseType
-------- -------- ----                                     --------
True     True     Object[]                                 System.Array


PS> ($foo -eq $null).Length
0
PS> ($foo -eq $null).GetValue(0)
Exception calling "GetValue" with "1" argument(s): "Index was outside the bounds of the array."
At line:1 char:1
+ ($foo -eq $null).GetValue(0)
+ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    + CategoryInfo          : NotSpecified: (:) [], MethodInvocationException
    + FullyQualifiedErrorId : IndexOutOfRangeException

Note that I am calling the Array.GetValue method instead of using the indexer (i.e. ($foo -eq $null)[0]) because the latter returns $null for invalid indices and there's no way to distinguish them from a valid index that happens to contain $null.

We see similar behavior if we test for $null in/against an array that contains $null elements...

PS> $bar = @($null)
PS> $bar -eq $null
PS> ($bar -eq $null).GetType()

IsPublic IsSerial Name                                     BaseType
-------- -------- ----                                     --------
True     True     Object[]                                 System.Array


PS> ($bar -eq $null).Length
1
PS> ($bar -eq $null).GetValue(0)
PS> $null -eq ($bar -eq $null).GetValue(0)
True
PS> ($bar -eq $null).GetValue(0) -eq $null
True
PS> ($bar -eq $null).GetValue(1)
Exception calling "GetValue" with "1" argument(s): "Index was outside the bounds of the array."
At line:1 char:1
+ ($bar -eq $null).GetValue(1)
+ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    + CategoryInfo          : NotSpecified: (:) [], MethodInvocationException
    + FullyQualifiedErrorId : IndexOutOfRangeException

In this case, $bar -eq $null returns an array containing one element, $null, which has no visual representation at the console...

PS> @($null)
PS> @($null).GetType()

IsPublic IsSerial Name                                     BaseType
-------- -------- ----                                     --------
True     True     Object[]                                 System.Array


PS> @($null).Length
1