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Matrices and Determinants question

2024 · 27 Jan · Shift 2 · Q57

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JEE Main
Mathematics
Matrices and Determinants
2024 · 27 Jan · Shift 2 · Q57

Matrices and Determinants question

2024 · 27 Jan · Shift 2 · Q57

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1

Let

A

be a

2 \times 2

real matrix and

I

be the identity matrix of order 2. If the roots of the equation

|\mathrm{A}-x \mathrm{I}|=0

be

-1

and 3, then the sum of the diagonal elements of the matrix

\mathrm{A}^2

is

Numerical answer

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