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Questions › JNU › JNU SIS 2016 › Q6
2 marks, −1Mathematics › Vector spaces, rank and eigenvalues › Eigenvalues and eigenvectorsEasyabout 1 min

JNU SIS 2016 Question 6: Vector spaces, rank and eigenvalues

Determine the eigenvalues of the following matrix : A=[8668]A = \begin{bmatrix} 8 & 6 \\ 6 & 8 \end{bmatrix}A=[86​68​]

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Determine the eigenvalues of the following matrix: A = [8 6; 6 8] (A) 2 and 14 (B) 0 and 2 (C) 2 and 16 (D) 0 and 16

Vector spaces, rank and eigenvalues has come up 41 times in 6 exams since 2008.

What this question tests

This question is on Eigenvalues and eigenvectors, part of Vector spaces, rank and eigenvalues in Mathematics.

The scalars and directions a matrix only stretches, and what they say about invertibility and trace.

TestStop has 6 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2022 · Q41The sum of the eigenvalues of the square matrix [1 1 3; 1 5 1; 3 1 1] is _ (in integer).
Practise Vector spaces, rank and eigenvaluesMore on Eigenvalues and eigenvectors

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Question from the JNU SIS 2016 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.