Project ForgeEngineering Mathematics
Linear Algebra
GATE 2018
Easy
For the matrix A=[[cosθ,−sinθ],[sinθ,cosθ]], the value of det(AᵀA) is
1
Explanation
A is a rotation matrix, so it is orthogonal: AᵀA=I. det(I)=1.
Source: GATE CH 2018 (2018)
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