Find the Determinant And, If Possible, the Inverse of the Matrix

question 98

Essay

Find the determinant and, if possible, the inverse of the matrix. $$\left[ \begin{array} { c c c } 1 & 0 & 0 \\1 & 3 & 1 \\- 1 & - 2 & 0\end{array} \right]$$

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Definitions:

Foreign Antigens

Substances that are recognized by the immune system as non-self, triggering an immune response.

Self-antigens

Antigens present on the body's own cells; usually tolerated by the immune system.

Transplanted Tissues

Tissues moved from one body and placed into another, either in the same person or between individuals, to replace damaged or defective tissues.

Plasma Proteins

Proteins present in blood plasma, serving various functions such as clotting, defense against pathogens, and transportation of substances.