Matrix Pdf 173027 | Linalg Assignment6 Solns

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File: Matrix Pdf 173027 | Linalg Assignment6 Solns

MATH 2030: ASSIGNMENT 6 Eigenvalues and Eigenvectors of n×n Matrices Q.1: pg 309, q 2. For the given matrix, A= 1 −9 1 −5 ...

Filetype PDF | Posted on 27 Jan 2023 | 2 years ago

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...Math assignment eigenvalues and eigenvectors of n matrices q pg for the given matrix a calculate characteristic polynomial basis each eigenspace algebraic geometric multiplicity value will be det i expanding this we nd equating to zero that roots is only satisfy an eigenvalue with computing null space non trivial solution homogeneous problem x thus corresponding eigenvector has multi plicity taking determinant easily done as upper triangular equation simply product diagonals are then computingthenullspacesofa anda wendtheeigenspaces spanned by following vectors e span have both equal respectively prove if invertible correspond ing ax may apply its inverse sides get ix multiplying on show since suppose v find give solutions vector here in text vb it shown while yields b vi previous question determine akx arbitrary k generalizing result any square at same hence sam...

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Posted on: 27 Jan 2023 | 2 years ago
Tag: download pdf, linalg, assignment6, solns,
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