Kernel of homomorphism/Normal Subgroup for nxn matrices under multiplication

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how to find a normal subgroup for nxn invertible matries under multiplication where n >=2. it should have determinant of -1? I have chosen 2X2 matrices g = (a b 0 c)belongs to G,h = (1 x 0 1) belongs to H with determinant -1 to prove ghg-1 = h belongs to H. But Do i need to find kernal of homomorphism to prove it? could someone explain with example matrices