The present application discloses matrix compositions to support the repair of tissue defects such as an injury to tendon tissue, ligament tissue, vascular tissue, dermal tissue, or muscle tissue. A matrix described herein comprises a polyester polymer entangled with a polysaccharide polymer. Also disclosed are methods of preparing a matrix, and methods of using a matrix in the repair of tissue. In certain configurations, a matrix can comprise a polyester cross-linked with a polysaccharide, which can be an oxidized polysaccharide. In some configurations, a matrix can further comprise one or more additional components, such as a growth factor or an anti-infective agent. In some configurations, a matrix can be a viscous fluid or a paste, while in other configurations a matrix can be comprised by a solid such as a plug, a granule or a membrane.