Maximum value of a second order determinant whose every element is either 0,1 or 2 only is:

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Solution

The correct option is C 4
So, $A = [\begin{matrix} a & b c & d \end{matrix}]$ Given a,b,c & D can only be 0,1,2
det A= ad-bc
So for max. value of A,
a=2 and d=2 and $b, c ϵ 0, 0$
So, Max value of det $A = [\begin{matrix} 2 & 0 0 & 2 \end{matrix}] = 4$

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Maximum value of a second order determinant whose every element is either 0,1 or 2 only is:

The correct option is C 4So, A=[abcd] Given a,b,c & D can only be 0,1,2det A= ad-bcSo for max. value of A,a=2 and d=2 and b,cϵ0,0So, Max value of det A=[2002]=4

The correct option is C 4
So, $A = [\begin{matrix} a & b c & d \end{matrix}]$ Given a,b,c & D can only be 0,1,2
det A= ad-bc
So for max. value of A,
a=2 and d=2 and $b, c ϵ 0, 0$
So, Max value of det $A = [\begin{matrix} 2 & 0 0 & 2 \end{matrix}] = 4$