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Let A=(acbd). Let E be a 22 replacement matrix. Namely, E=(10k1) or E=(1k01) f ...
Let A=(ac?bd?). Let E be a 2×2 replacement matrix. Namely, E=(10?k1?) or E=(1k?01?) for some real number k. Show that detE=1 and that det(EA)=detA, without using the multiplicative property of determinants.