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Hi, I have questions. I need your help with explanations. Thank you so much. Question 1 (1 point} For X=Ax if A has an eigenvalue

Hi, I have questions.

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Thank you so much.

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Question 1 (1 point} For X=Ax if A has an eigenvalue with algebraic multiplicity 4 and geometric multiplicity 1, then the highest power of tappearing in solutions in terms like tkert/k! is k= g" j} 0 :1" i} 1 q" f} 2 q" f} 3 :1" i} 4 Question 2 (1 point) For x=Ax if A has an eigenvalue with algebraic multiplicity 4 and geometric thert / k! is k= multiplicity 2, then the highest power of t appearing in solutions in terms like Oo O 1 O2 3 0 4Question 3 (1 point) The number of 1's appearing on the super-diagonal in the Jordan Form of a matrix A, above diagonal entries with a repeated eigenvalue, r, is the algebraic multiplicity of r minus the geometric multiplicity of r the algebraic multiplicity of rminus the geometric multiplicity of r, plus 1 the algebraic multiplicity of rminus the geometric multiplicity of r, minus 1 Question 4 (1 point) If a square matrix A has eigenvectors and generalized eigenvectors as columns of matrix 7(in the appropriate order), then the Jordan Form, J, is J = T-1AT O True OFalse

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