Question:medium

The sum of the eigenvalues of the matrix
\( A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}^2 \)
is _____________ (rounded off to the nearest integer).

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The trace of a matrix equals the sum of its eigenvalues. For powers of matrices, calculate carefully using the characteristic equation.

Updated On: Feb 3, 2026

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Correct Answer: 29

Solution and Explanation

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The sum of the eigenvalues of the matrix \( A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}^2 \) is _____________ (rounded off to the nearest integer).

Show Hint

Correct Answer: 29

Solution and Explanation

Top Questions on Eigenvalues

Questions Asked in GATE EE exam

The sum of the eigenvalues of the matrix
\( A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}^2 \)
is _____________ (rounded off to the nearest integer).