Past exam of the year 1 of the computer science course of the University of Oxford / 2022 / Digital systems, linear algebra, introduction to formal proof resit / 5 / a / Solution

Choose $A = I_{2}$ and $B = 3 I_{2}$ . Then

A B = 3 I_{2} = A^{2} + A + I_{2}

. Both are real

2 \times 2

matrices, as required.

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