Visual Basic Capture output of cmd

I want Visual Basic to be able to run the "make" command on the directory "C:\projectTest\".

I tried to use this:

    Dim output As String = String.Empty

    Using Process As New Process
        Process.StartInfo = New ProcessStartInfo("cmd")
        Process.StartInfo.WorkingDirectory = "C:\projectTest\"
        Process.StartInfo.UseShellExecute = False
        Process.StartInfo.CreateNoWindow = True
        Process.StartInfo.RedirectStandardInput = True
        Process.StartInfo.RedirectStandardOutput = True
        Process.StartInfo.RedirectStandardError = True
        Process.Start()
        Process.BeginOutputReadLine()
        AddHandler Process.OutputDataReceived,
 _
           Sub(processSender As Object, lineOut As DataReceivedEventArgs)
               output += lineOut.Data + vbCrLf
           End Sub

        Using InputStream As System.IO.StreamWriter = Process.StandardInput
            InputStream.AutoFlush = False
            InputStream.WriteLine("make")
        End Using
        Do
            Application.DoEvents()
        Loop Until Process.HasExited
    End Using

This code is able to capture the "gcc ..." part of the console (comes from the Makefile), but will not capture the error (which does pop up if I manually open cmd and run make on that directory).

How can I capture everything that appears including the error?