Final answer:
The blood connective tissue's non-living fluid matrix is known as plasma, which serves as the medium for the suspension and transportation of the blood's cellular components like erythrocytes and leukocytes.
Step-by-step explanation:
The non-living fluid matrix of blood connective tissue is called plasma. Blood is a connective tissue that consists of several cellular components, such as erythrocytes (red blood cells) and leukocytes (white blood cells), which float in this plasma matrix.
As a fluid connective tissue, blood is unique because it does not contain fibrous components, and plasma serves the important roles of transporting nutrients, hormones, and waste products, as well as perpetually suspending the formed elements to facilitate their circulation in the cardiovascular system.