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1 as matrix

With a 2×2-matrix you can represent the number 1 by the unit matrix

 


Explanation

A complex number z = a + bi can be described the the 2×2-matrix

and because every real number is also a complex number you get

 


Example 1

You can calculate –1 × –1 = 1 by multiplying matrices

and this is of course correct.

 


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