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The Inverse S-box value for byte stored in cell (3,3)

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The Inverse S-box value for byte stored in cell (3,3)

(a) 0xC3

(b) 0x66

(c) 0x1F

(d) 0x9B

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This is a very interesting question from The AES Algorithm topic in section Advanced Encryption Algorithm and Block Cipher Operation of Cryptograph & Network Security

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The correct answer is (b) 0x66

Easy explanation: We first find the multiplicative inverse of 0x33. And then perform the matrix transformation to get 0x66.

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