Question: Find a 2 x 2 matrix A with each element +1 or -1 such that A 2 = 0. The formula of Problem 29 may

Find a 2 x 2 matrix A with each element +1 or -1 such that A2 = 0. The formula of Problem 29 may be helpful.



Problem 29


2 A = (a + d)A - (ad - bc)I,


where I denotes the 2 x 2 identity matrix. Thus every 2 x 2 matrix A satisfies the equation


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2 A = (a + d)A - (ad - bc)I,

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