Linkage mapping is the mapping process in which the genes present on the chromosomes are mapped on the base of their linkage. The linkage mapping helps in calculating how frequent recombination occurs using testcross.
Linkage mapping does not utilize the information that is on DNA sequences, however, it helps in assuming the distance of two linked genes is proportional of the recombination frequency. By the recombination, frequency mutations can be found and study.
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Patient 1 has Type A blood because agglutination occurs due to reaction with anti-B. We know that A blood group has antigen A and it is anti-B means that they attack on B type of blood cells while on the other hand, B blood group has antigen B and it is anti-A means that they will attack on the A type blood cells upon mixing. So according to the chart, there is nothing happens by reaction of the blood with anti-A whereas agglutination occur by reaction with anti-B so we can say that the patient has type A blood.