Show that the (m 1) by (m 1) tridiagonal method matrix A given by where λ >
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where λ > 0, is positive definite and diagonally dominant and has eigenvalues
with corresponding eigenvectors v(i), where v(i)j = sin(ijÏ/m).
Transcribed Image Text:
-A, J=1-10j:1+1, 0, otherwise 4-1+4(sin )', for each i-l,1 for each ί 1, 2, . . . , m-1 , n-l,
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