Salbjörg Sveinsdóttir Hotz had her first tuition on the piano at the Music School in Isafjördur, Iceland. Her teacher was Ragnar H. Ragnar. She continued her studies at the Reykjavík College of Music under Rögnavaldur Sigurjónsson and obtained her diploma in 1979. During the five years that followed, she studied at the Conservatory of Vienna under the Austrian pianist, Professor Igo Koch. At the same time, she studied cartoon drawing with Professor Leo Kernau in the Art Education Center in Vienna.
After staying for a year in Budapest, Hungary she was a piano teacher and an accompanist in Iceland, after which she moved in 1989 with her family for four years to Haifa, Israel. Her stay in Israel turned out to be a source of ideas and inspiration for many of her compositions.
Since 1993 she has been living in Switzerland. In 2001-2002 she took courses in composition at the Conservatory of Zürich under the Swiss composer Theo Wegmann.
Some of her compositions have been performed in concerts in Iceland and in Switzerland. Two CDs with all her former works, songs with piano accompaniment, were recorded with four Icelandic singers and published in Iceland in 2002 and in 2007.
A selection from her cartoon drawings were published 2016 the book Dissonances - Cartoons about music in in German and in Icelandic.
In the present she is working in Switzerland with her music projects and cartoon drawings.