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Matrices and Determinants question

2021 · 27 Aug · Shift 1 · Q25
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Matrices and Determinants question

2021 · 27 Aug · Shift 1 · Q25

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
If the matrix A=(02K−1)A = \left( {\begin{matrix} 0 & 2 \\ K & { - 1} \\ \end{matrix} } \right)A=(0K​2−1​) satisfies A(A3+3I)=2IA({A^3} + 3I) = 2IA(A3+3I)=2I, then the value of K is :
  1. A
    12{1 \over 2}21​
  2. B
    −12-{1 \over 2}−21​
  3. C
    −-− 1
  4. D
    1
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