Let A=(\table a,b;c,d) be a 2 × 2 real matrix with \det A = 1. If the equation \det (A - \lambdaI_2) = 0 has imaginary roots (I _2 be the Identity matrix of order 2), then

WBJEE 2020 Math Solved Paper

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Let A=(

a	b
c	d

) be a 2 × 2 real matrix with det‌A=1. If the equation det(A−λI2)=0 has imaginary roots (I2 be the Identity matrix of order 2), then

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a−λ	b
c	d−λ