Let A be a 3 \times 3 real matrix such that A(\table 1 ; 1 ; 0)=(\table 1 ; 1 ; 1 ) ; A(\table 1 ; 0 ; 1)=(\table -1 ; 0 ; 1) and A(\table 0 ; 0 ; 1)=(\table 1 ; 1 ; 2) If X=(x_1, x_2, x_3)^T and I is an identity matrix of order 3 , then the system (\A-\2\I) \X=(\table 4 ; 1 ; 1) has : [25-Jun-2022-Shift-1]

Correct Answer is : infinitely many solutions

JEE Main 25 June 2022 Shift 1 Solved Paper

Section: Mathematics

Question : 5 of 90

Marks: +1, -0

Let A be a 3×3 real matrix such that
A(

)=(

); A(

)=(

−1

) and A(

)=(

)
If X=(x1,x2,x3)T and I is an identity matrix of order 3 , then the system (A−2I)X=(

)
has :

[25-Jun-2022-Shift-1]

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