Let \beta be a real number. Consider the matrix A=(\table \beta , 0 , 1 ; 2 , 1 , -2 ; 3 , 1 , -2 ) If A^7-(\beta-1) A^6-\beta A^5 is a singular matrix, then the value of 9 \beta is [JEE Adv 2022 P2]

Matrices and Determinants

Section: Mathematics

Question : 10 of 56

Marks: +1, -0

Let β be a real number. Consider the matrix
A=(

)
If A7−(β−1)A6−βA5 is a singular matrix, then the value of 9β is

[JEE Adv 2022 P2]

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