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Matrices and Determinants question

2018 · 15 Apr · Shift 1 · Q29
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  5. /2018 · 15 Apr · Shift 1 · Q29

Matrices and Determinants question

2018 · 15 Apr · Shift 1 · Q29

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let AAA be a matrix such that A.[1203]A.\left[ {\begin{matrix} 1 & 2 \\ 0 & 3 \\ \end{matrix} } \right]A.[10​23​] is a scalar matrix and |3A| = 108. Then A2 equals :
  1. A
    [4−32036]\left[ {\begin{matrix} 4 & { - 32} \\ 0 & {36} \\ \end{matrix} } \right][40​−3236​]
  2. B
    [360−324]\left[ {\begin{matrix} {36} & 0 \\ { - 32} & 4 \\ \end{matrix} } \right][36−32​04​]
  3. C
    [40−3236]\left[ {\begin{matrix} 4 & 0 \\ { - 32} & {36} \\ \end{matrix} } \right][4−32​036​]
  4. D
    [36−3204]\left[ {\begin{matrix} {36} & { - 32} \\ 0 & 4 \\ \end{matrix} } \right][360​−324​]
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