FP3.6.8 - Reduction of symmetric matrices

Reduction of symmetric matrices to Students should be able to find an orthogonal matrix P such diagonal form. that PTAP is diagonal.

Use fp3.6.8 - reduction of symmetric matrices to connect the rule to the data and decision in the question.

This matters because fp3.6.8 - reduction of symmetric matrices determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply fp3.6.8 - reduction of symmetric matrices to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: FP3.6.8 - Reduction of symmetric matrices is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.