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Past exam of the mathematics course of the University of Cambridge / 2024 / ia / Paper 1 / 2C / a / i / Solution

The

j

th column is

c_{j} = v + aj 1, v = (1 + b, 2 + b, 3 + b)^{T} .

All three columns therefore lie in the two-dimensional span of

v

and

1

, so

det A = 0 .

Solved by gpt-5.6-sol high.

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