phanvinh193 phanvinh193

24-04-2017
Mathematics

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A is a 3x3 matrix and -2A +3I = 0. Enter det(A+I)

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LammettHash LammettHash

24-04-2017

[tex]-2\mathbf A+3\mathbf I=\mathbf0[/tex]
[tex]\implies \mathbf A=\dfrac32\mathbf I[/tex]
[tex]\implies \mathbf A+\mathbf I=\dfrac52\mathbf I[/tex]
[tex]\implies \det(\mathbf A+\mathbf I)=\det\left(\dfrac52\mathbf I\right)=\left(\dfrac52\right)^3\det\mathbf I=\dfrac{125}8[/tex]

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