6. -1 12 The charactertistic polynomial of the matrix C = -11 -2 -15 -7 1...

Transcribed Image Text:

6. -1 12 The charactertistic polynomial of the matrix C = -11 -2 -15 -7 1 -13 is p(1) = -(1 + 4)²(1 + 1). The matrix has two distinct eigenvalues, å1 < 12: has algebraic multiplicity (AM). The dimension of the corresponding eigenspace (GM) is 2=口 has algebraic multiplicity (AM). The dimension of the corresponding eigenspace (GM) is %3D Is the matrix C diagonalizable? (enter YES or NO) 6. -1 12 The charactertistic polynomial of the matrix C = -11 -2 -15 -7 1 -13 is p(1) = -(1 + 4)²(1 + 1). The matrix has two distinct eigenvalues, å1 < 12: has algebraic multiplicity (AM). The dimension of the corresponding eigenspace (GM) is 2=口 has algebraic multiplicity (AM). The dimension of the corresponding eigenspace (GM) is %3D Is the matrix C diagonalizable? (enter YES or NO)