refactor: Use matrix-matrix interface in LAPACK solve #6835

Job	Run time
semantic_pull_request	2s
is_not_draft_pull_request	3s
are_submodules_in_sync	14s
baseline_log	3s
if_not_unassigned_pull_request	1s
code_coverage / build_test_deploy	47m 19s
Ubuntu (20.04, gcc 10.5.0, open-mpi 4.0.3) - github codespaces / build_test_deploy	4m 45s
Ubuntu (20.04, gcc 9.4.0, open-mpi 4.0.3) / build_test_deploy	4m 44s
Ubuntu (22.04, clang 15.0.7, open-mpi 4.1.2) / build_test_deploy	4m 10s
Ubuntu (22.04, gcc 11.4.0, open-mpi 4.1.2) / build_test_deploy	5m 16s
Ubuntu (22.04, gcc 12.3.0, open-mpi 4.1.2) / build_test_deploy	4m 44s
Ubuntu debug (20.04, gcc 10.5.0, open-mpi 4.0.3) - github codespaces / build_test_deploy	10m 10s
Check code style / build_test_deploy	1m 24s
Check documentation / build_test_deploy	1m 5s
Ubuntu CUDA (20.04, clang 10.0.0 + gcc 9.4.0, open-mpi 4.0.3, cuda-11.8.89) / build_test_deploy	17m 15s
Ubuntu CUDA debug (20.04, clang 10.0.0 + gcc 9.4.0, open-mpi 4.0.3, cuda-11.8.89) / build_test_deploy	4m 5s
run_integrated_tests / build_test_deploy	6s
check_that_all_jobs_succeeded	1s
	1h 45m 27s

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