jee-main 2022 Q69

jee-main · India · session1_26jun_shift1 3x3 Matrices Determinant of Parametric or Structured Matrix

Let $A$ be a $3 \times 3$ invertible matrix. If $| \operatorname { adj } ( 24 A ) | = | \operatorname { adj } ( 3 \operatorname { adj } ( 2A ) ) |$, then $| A | ^ { 2 }$ is equal to
(1) $2 ^ { 6 }$
(2) $2 ^ { 12 }$
(3) 512
(4) $6 ^ { 6 }$

Let $A$ be a $3 \times 3$ invertible matrix. If $| \operatorname { adj } ( 24 A ) | = | \operatorname { adj } ( 3 \operatorname { adj } ( 2A ) ) |$, then $| A | ^ { 2 }$ is equal to\\
(1) $2 ^ { 6 }$\\
(2) $2 ^ { 12 }$\\
(3) 512\\
(4) $6 ^ { 6 }$

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