Let P_1=I= bmatrix 1&0&0 0&1&0 0&0&1 bmatrix , P_2= bmatrix 1&0&0 0&0&1 0&1&0 bmatrix , P_3= bmatrix 0&1&0...

Question

Let P_1=I= bmatrix 1&0&0 0&1&0 0&0&1 bmatrix , P_2= bmatrix 1&0&0 0&0&1 0&1&0 bmatrix , P_3= bmatrix 0&1&0 1&0&0 0&0&1 bmatrix , P_4= bmatrix 0&1&0 0&0&1 1&0&0 bmatrix , P_5= bmatrix 0&0&1 1&0&0 0&1&0 bmatrix , P_6= bmatrix 0&0&1 0&1&0 1&0&0 bmatrix and X= _ k=1 ^ 6 P_k bmatrix 2&1&3 1&0&2 3&2&1 bmatrix P_k^T where P_k^T denotes the transpose of the matrix P_k. Then which of the following options is/are correct?

Accepted Answer

(A),(B),(C)

JEE Advanced 2019 Mathematics question

Solution

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