If A= bmatrix 0&-4&1 2& &-3 1&2&-1 bmatrix then A^ -1 exists (i.e., A is invertible) if

JEE Advanced Mathematics question

If then exists (i.e., is invertible) if

Answer: (B)

is invertible iff . Expanding along :

|A|=0·(-λ+6)-(-4)(2·(-1)-(-3)\

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Question ID VK-108371