## Question

###### Suppose that a four by four matrix A has vectors va, vb, vc, vdthat satisfy the following properties Ava =vc, Avb = âˆ’2vb,Avc = âˆ’va, Avd =âˆ’2vd + 3vb. What is the Jordan canonicalform of A and what is the transformation matrixP?

Suppose that a four by four matrix A has vectors va, vb, vc, vd that satisfy the following properties Ava = vc, Avb = âˆ’2vb, Avc = âˆ’va, Avd = âˆ’2vd + 3vb. What is the Jordan canonical form of A and what is the transformation matrix P?

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