Question

( A^{2}-7 A+4 I=0 quad, quad 1 A=3 )
( (A-2 I)^{2}-3 A=0 )
( (A-2 I)^{2}=3 A )
( (A-2 I)(A-2 I)=3 A )
det on both sides
[
begin{array}{r}|A-2 T|^{2}=3|A| =[1 A-2 I mid=3end{array}
]

# A is a 3×3 matria where 41=3 and A?5414150, Find the determinant of the matrix - A-25 I(A-21)=) I I deurity materia of order 3. (C) 5 (ds 9

Solution