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21-04-2017
Mathematics

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A is a 2 ×2 matrix and 3(A+I)=I. Enter det(A+I).

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LammettHash LammettHash

21-04-2017

[tex]3(\mathbf A+\mathbf I)=\mathbf I[/tex]
[tex]\mathbf A+\mathbf I=\dfrac13\mathbf I[/tex]
[tex]\implies \det(\mathbf A+I)=\det\left(\dfrac13\mathbf I\right)=\left(\dfrac13\right)^2=\dfrac19[/tex]

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