Your analysis is well done! And accurate to a very close approximation.
The DAC will see a load impedance of 9K + (1K in parallel with 100K), which is extremely close to 10K.
The amp will see a source impedance (the impedance seen "looking back" from its input) of 1K in parallel with (9K + 100 ohms), or about 0.9K, which in terms of impedance compatibility is slightly better than the 1K you assumed.
The one other consideration is that if the DAC utilizes a coupling capacitor at its output, which is particularly likely if its output stage is tube-based, its output impedance may be significantly greater at deep bass frequencies than the specified 100 ohms. But even if that were the case, the nominal ratio of 100x pretty much assures there won't be an issue.
Good luck. Regards,
-- Al
The DAC will see a load impedance of 9K + (1K in parallel with 100K), which is extremely close to 10K.
The amp will see a source impedance (the impedance seen "looking back" from its input) of 1K in parallel with (9K + 100 ohms), or about 0.9K, which in terms of impedance compatibility is slightly better than the 1K you assumed.
The one other consideration is that if the DAC utilizes a coupling capacitor at its output, which is particularly likely if its output stage is tube-based, its output impedance may be significantly greater at deep bass frequencies than the specified 100 ohms. But even if that were the case, the nominal ratio of 100x pretty much assures there won't be an issue.
Good luck. Regards,
-- Al