Let A be an nxn matrix. Determine whether the statement below is true or false. Justify the answer. The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A. Choose the correct answer below. O A. The statement is false. The multiplicity of a root r of the characteristic equation of A is the number of eigenvectors corresponding to that root. O B. The statement is true. It is the definition of the multiplicity of a root of the characteristic equation of A. O c. The statement is true. It is the definition of the algebraic multiplicity of an eigenvalue of A. O D. The statement is false. The multiplicity of a rootr of the characteristic equation of A is called the geometric multiplicity of r as an eigenvalue of A.

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