Add new lesson to the README table

Also remove the lines about where it works, we now expect all lessons to
work on either dpcpp or AdaptiveCpp and will strive to make sure that's
true generally.

Author: DuncanMcBain

README.md

@@ -70,29 +70,30 @@ A playlist of video content is [also available][video-playlist]. Though note tha
 slides and exercises may have changed since these videos were created so they
 may not match completely.
 
-| Lesson | Title | Slides | Exercise | Source | Solution | DPC++ | AdaptiveCpp |
-|--------|-------|--------|----------|--------|----------|-------|---------|
-| 01 | What is SYCL | [slides][lesson-1-slides] | [exercise][lesson-1-exercise] | [source][lesson-1-source] | [solution][lesson-1-solution] | Yes | Yes |
-| 02 | Enqueueing a Kernel | [slides][lesson-2-slides] | [exercise][lesson-2-exercise] | [source][lesson-2-source] | [solution][lesson-2-solution] | Yes | Yes |
-| 03 | Managing Data | [slides][lesson-3-slides] | [exercise][lesson-3-exercise] | [source][lesson-3-source] | [solution][lesson-3-solution] | Yes | Yes |
-| 04 | Handling Errors | [slides][lesson-4-slides] | [exercise][lesson-4-exercise] | [source][lesson-4-source] | [solution][lesson-4-solution] | Yes | Yes |
-| 05 | Device Discovery | [slides][lesson-5-slides] | [exercise][lesson-5-exercise] | [source][lesson-5-source] | [solution][lesson-5-solution] | Yes | Yes |
-| 06 | Data Parallelism | [slides][lesson-6-slides] | [exercise][lesson-6-exercise] | [source][lesson-6-source] | [solution][lesson-6-solution] | Yes | Yes |
-| 07 | Introduction to USM | [slides][lesson-7-slides] | [exercise][lesson-7-exercise] | [source][lesson-7-source] | [solution][lesson-7-solution] | Yes | Yes |
-| 08 | Using USM | [slides][lesson-8-slides] | [exercise][lesson-8-exercise] | [source][lesson-8-source] | [solution][lesson-8-solution] | Yes | Yes |
-| 09 | Asynchronous Execution | [slides][lesson-9-slides] | [exercise][lesson-9-exercise] | [source][lesson-9-source] | [solution][lesson-9-solution] | Yes | Yes |
-| 10 | Data and Dependencies | [slides][lesson-10-slides] | [exercise][lesson-10-exercise] | [source][lesson-10-source] | [solution][lesson-10-solution] | Yes | Yes |
-| 11 | In Order Queue | [slides][lesson-11-slides] | [exercise][lesson-11-exercise] | [source][lesson-11-source] | [solution][lesson-11-solution] | Yes | Yes |
-| 12 | Advanced Data Flow | [slides][lesson-12-slides] | [exercise][lesson-12-exercise] | [source][lesson-12-source] | [solution][lesson-12-solution] | Yes | Yes |
-| 13 | Multiple Devices | [slides][lesson-13-slides] | [exercise][lesson-13-exercise] | [source][lesson-13-source] | [solution][lesson-13-solution] | Yes | Yes |
-| 14 | Image Convolution | [slides][lesson-14-slides] | [exercise][lesson-14-exercise] | [source][lesson-14-source] | [solution][lesson-14-solution] | Yes | Yes |
-| 15 | Coalesced Global Memory | [slides][lesson-15-slides] | [exercise][lesson-15-exercise] |  | [solution][lesson-15-solution] | Yes | Yes |
-| 16 | Vectors | [slides][lesson-16-slides] | [exercise][lesson-16-exercise] | [source][lesson-16-source] | [solution][lesson-16-solution] | Yes | Yes |
-| 17 | Local Memory Tiling | [slides][lesson-17-slides] | [exercise][lesson-17-exercise] | [source][lesson-17-source] | [solution][lesson-17-solution] | Yes | Yes |
-| 18 | Further Optimisations | [slides][lesson-18-slides] | [exercise][lesson-18-exercise] | [source][lesson-18-source] | [solution][lesson-18-solution] | Yes | Yes |
-| 19 | Matrix Transpose | [slides][lesson-19-slides] | [exercise][lesson-19-exercise] | [source][lesson-19-source] | [solution][lesson-19-solution] | Yes | Yes |
-| 20 | More SYCL Features | [slides][lesson-20-slides] | [exercise][lesson-20-exercise] | [source][lesson-20-source] | [solution][lesson-20-solution] | Yes | Yes |
-| 21 | Functors | [slides][lesson-21-slides] | [exercise][lesson-21-exercise] | [source][lesson-21-source] | [solution][lesson-21-solution] | Yes | Yes |
+| Lesson | Title | Slides | Exercise | Source | Solution |
+|--------|-------|--------|----------|--------|----------|
+| 01 | What is SYCL | [slides][lesson-1-slides] | [exercise][lesson-1-exercise] | [source][lesson-1-source] | [solution][lesson-1-solution] |
+| 02 | Enqueueing a Kernel | [slides][lesson-2-slides] | [exercise][lesson-2-exercise] | [source][lesson-2-source] | [solution][lesson-2-solution] |
+| 03 | Managing Data | [slides][lesson-3-slides] | [exercise][lesson-3-exercise] | [source][lesson-3-source] | [solution][lesson-3-solution] |
+| 04 | Handling Errors | [slides][lesson-4-slides] | [exercise][lesson-4-exercise] | [source][lesson-4-source] | [solution][lesson-4-solution] |
+| 05 | Device Discovery | [slides][lesson-5-slides] | [exercise][lesson-5-exercise] | [source][lesson-5-source] | [solution][lesson-5-solution] |
+| 06 | Data Parallelism | [slides][lesson-6-slides] | [exercise][lesson-6-exercise] | [source][lesson-6-source] | [solution][lesson-6-solution] |
+| 07 | Introduction to USM | [slides][lesson-7-slides] | [exercise][lesson-7-exercise] | [source][lesson-7-source] | [solution][lesson-7-solution] |
+| 08 | Using USM | [slides][lesson-8-slides] | [exercise][lesson-8-exercise] | [source][lesson-8-source] | [solution][lesson-8-solution] |
+| 09 | Asynchronous Execution | [slides][lesson-9-slides] | [exercise][lesson-9-exercise] | [source][lesson-9-source] | [solution][lesson-9-solution] |
+| 10 | Data and Dependencies | [slides][lesson-10-slides] | [exercise][lesson-10-exercise] | [source][lesson-10-source] | [solution][lesson-10-solution] |
+| 11 | In Order Queue | [slides][lesson-11-slides] | [exercise][lesson-11-exercise] | [source][lesson-11-source] | [solution][lesson-11-solution] |
+| 12 | Advanced Data Flow | [slides][lesson-12-slides] | [exercise][lesson-12-exercise] | [source][lesson-12-source] | [solution][lesson-12-solution] |
+| 13 | Multiple Devices | [slides][lesson-13-slides] | [exercise][lesson-13-exercise] | [source][lesson-13-source] | [solution][lesson-13-solution] |
+| 14 | Image Convolution | [slides][lesson-15-slides] | [exercise][lesson-15-exercise] |  | [solution][lesson-15-solution] |
+| 15 | Coalesced Global Memory | [slides][lesson-16-slides] | [exercise][lesson-16-exercise] | [source][lesson-16-source] | [solution][lesson-16-solution] |
+| 16 | Vectors | [slides][lesson-17-slides] | [exercise][lesson-17-exercise] | [source][lesson-17-source] | [solution][lesson-17-solution] |
+| 17 | Local Memory Tiling | [slides][lesson-18-slides] | [exercise][lesson-18-exercise] | [source][lesson-18-source] | [solution][lesson-18-solution] |
+| 18 | Further Optimisations | [slides][lesson-19-slides] | [exercise][lesson-19-exercise] | [source][lesson-19-source] | [solution][lesson-19-solution] |
+| 19 | Matrix Transpose | [slides][lesson-20-slides] | [exercise][lesson-20-exercise] | [source][lesson-20-source] | [solution][lesson-20-solution] |
+| 20 | More SYCL Features | [slides][lesson-21-slides] | [exercise][lesson-21-exercise] | [source][lesson-21-source] | [solution][lesson-21-solution] |
+| 21 | Functors | [slides][lesson-22-slides] | [exercise][lesson-22-exercise] | [source][lesson-22-source] | [solution][lesson-22-solution] |
+| 22 | OneMath GEMM | [slides][lesson-23-slides] | [execise][lesson-23-exercise] | [source][lesson-23-source] | [solution][lesson-23-solution] |
 
 
 ## Building the Exercises
@@ -456,3 +457,8 @@ cmake ../ "-GUnix Makefiles" -DSYCL_ACADEMY_USE_DPCPP=ON -DSYCL_ACADEMY_ENABLE_S
 [lesson-21-exercise]: ./Code_Exercises/Functors/README.md
 [lesson-21-source]:   ./Code_Exercises/Functors/source.cpp
 [lesson-21-solution]: ./Code_Exercises/Functors/solution.cpp
+
+[lesson-22-slides]: ./Lesson_Materials/OneMKL_GEMM/
+[lesson-22-exercise]: ./Code_Exercises/OneMKL_gemm/README.md
+[lesson-22-source]:   ./Code_Exercises/OneMKL_gemm/source.cpp
+[lesson-22-solution]: ./Code_Exercises/OneMKL_gemm/solution.cpp