40 verified questions · ~60 minutes · answer key checked against the official NTA final key across multiple sources. Text-only questions (diagram-based excluded until they can be shown properly).
If A = [[1, 2, x], [0, 1, 0], [0, 0, 1]], B = [[1, −2, y], [0, 1, 0], [0, 0, 1]] and AB = I₃, where I₃ is the unit matrix of order 3 × 3, then x + y is equal to:
If A = [[x, 1], [1, 0]] and A = A⁻¹, then the value of x is:
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