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Find a matrix P that diagonalizes the matrix A = [ 2 0 ?2 / 0...

Find a matrix P that diagonalizes the matrix A = [ 2 0 ?2 / 0 3 0 / 0 0 3 ] and compute P ?1AP.

Solutions

Expert Solution

Solution: The characteristic equation is

for

By and

Put

for

Put and

is an eigenvector corresponding to

Since Algebraic multiplicity of Geometric multiplicity of and

Algebraic multiplicity of Geometric multiplicity of

is diagonalisable

milcah answered 1 year ago

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