Question: 2 linear algebra questions: 3.Let 3 5 A- 4). (a) Find a real. invertible matrix P such that PlAP is diagonal. (b) Find a real,

2 linear algebra questions:

$2 linear algebra questions: 3.Let 3 5 A-\" 4). (a) Find a$

3.Let 3 5 A-\" 4). (a) Find a real. invertible matrix P such that PlAP is diagonal. (b) Find a real, invertible matrix B such that B3 = A. 4. Let K be a field. The trace of a matrix in KM\" is the sum of its diagonal entries. (a) Prove that 131- AB = trBA for all A. B E KM\

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