The number of elements in the set \\begin{array}{cc}\A=(\table a & b\\0 & b): a{ &\end{array} b \and d \in \{-1, 0, 1\} ;\and (\I-\A)^3=\I-\A^3\} where I is 2 × 2 identity matrix, is [31 Aug 2021 Shift 2]

JEE Main 31-Aug-2021 Shift 2 Solved Paper

Section: Mathematics

Question : 87 of 90

Marks: +1, -0

The number of elements in the set

{

A=(

a	b
0	b

):a,b‌and‌d∈{−1,0,1}

and‌(I−A)3=I−A3

}

where I is 2 × 2 identity matrix, is

[31 Aug 2021 Shift 2]

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a2	ab+bd
0	d2