Problem 3 Find the algebraic and geometric multiplicity of the matrix 1 0 -3 -1 0 10 -1 0 0 -1 0 0 1 1 A = -2 and determine whether A is diagonalizable. (Hint: You can see straight away that 1 is one of the eigenvalues: just look at that last column. This might help when you try to find the other eigenvalues.)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Problem 3 Find the algebraic and geometric multiplicity of the matrix
0]
A =
1 -1 0
0 -3 10
0 -1 -1 0
0 0 1 1
-2
and determine whether A is diagonalizable.
(Hint: You can see straight away that 1 is one of the eigenvalues: just look at that last column.
This might help when you try to find the other eigenvalues.)
Transcribed Image Text:Problem 3 Find the algebraic and geometric multiplicity of the matrix 0] A = 1 -1 0 0 -3 10 0 -1 -1 0 0 0 1 1 -2 and determine whether A is diagonalizable. (Hint: You can see straight away that 1 is one of the eigenvalues: just look at that last column. This might help when you try to find the other eigenvalues.)
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