Final answer:
The restriction endonucleases would cleave a DNA molecule at the given sequences is: a) EcoRI: GAATTC and B) HindIII: CTTAAG.
Step-by-step explanation:
Restriction endonucleases are enzymes that cleave dsDNA at specific sequences, often producing either sticky ends or blunt ends depending on the enzyme. Each restriction enzyme has a unique recognition site that is typically a palindromic sequence, where the sequence reads the same forwards and backwards on both DNA strands.
Plasmids are commonly used in molecular biology as vectors to carry DNA fragments after they have been cut with restriction endonucleases. Such enzymes have become critical tools in molecular biology for cloning and other applications. It's important to remember that restriction enzymes need to match their specific sequence to cleave DNA, otherwise no cutting occurs. The answer is option A) EcoRI: GAATTC and B) HindIII: CTTAAG.