Find a Orthogonal Matrix P and Diagonal Matrix D Such

question 18

Essay

Find a
orthogonal matrix P and diagonal matrix D such that the change of variables
transforms the given quadratic form
into the form

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Identify key legislative acts related to slavery and emancipation during the Civil War period.

Asses the impact of military strategies and actions on the process of emancipation.

Examine the educational efforts for formerly enslaved people and their significance in the broader context of emancipation.

Understand the motivations behind and consequences of resistance to emancipation among various groups.