Project ForgeEngineering Mathematics
Linear Algebra
GATE 2015
Easy
For the matrix [[4,3],[3,4]], if (1,1) is an eigenvector, the corresponding eigenvalue is
7
Explanation
A·(1,1)ᵀ=(4+3,3+4)ᵀ=(7,7)ᵀ=7×(1,1)ᵀ, so the eigenvalue is 7.
Source: GATE CH 2015 (2015)
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