If the matrix A=\left(\begin{array}{cc}1 & -1 \ -1 & 1)\end{array} then A^{n+1}=

Correct Answer is : 2n(1−1−11)

2\left(\begin{array}{cc}1 & -1 \ -1 & 1)\end{array}

2 n\left(\begin{array}{cc}1 & -1 \ -1 & 1)\end{array}

2^{n+1}\left(\begin{array}{cc}1 & -1 \ -1 & 1)\end{array}

2^n\left(\begin{array}{cc}1 & -1 \ -1 & 1)\end{array}

COMEDK 2024 Shift 1 Paper

Question : 88 of 180

Marks: +1, -0

If the matrix A=(

1	−1
−1	1

) then An+1=

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1⋅1+(−1)⋅(−1)	1⋅(−1)+(−1)⋅1
(−1)⋅1+1⋅(−1)	(−1)⋅(−1)+1⋅1

1+1	−1−1
−1−1	1+1

2	−2
−2	2