Let k be a positive real number and let A = bmatrix 2k-1 & 2 k & 2 k 2 k & 1 & -2k -2 k & 2k & -1 bmatrix and...

Question

Let k be a positive real number and let A = bmatrix 2k-1 & 2 k & 2 k 2 k & 1 & -2k -2 k & 2k & -1 bmatrix and B = bmatrix 0 & 2k-1 & k 1-2k & 0 & 2 k - k & -2 k & 0 bmatrix . If ( adj A) + ( adj B) = 10^6, then [k] is equal to [Note : adj M denotes the adjoint of a square matrix M and [k] denotes the largest integer less than or equal to k].

Accepted Answer

4

JEE Advanced 2010 Mathematics question

Solution

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