Let ω be a complex cube root of unity with ω ≠ 1 and P = [pij] be a n × n matrix with pij = ωi + j. Then P2≠ 0, when n =
If P is a matrix such that, where is the transpose of P and I is the identity matrix, then there exists a column matrix such that
Match the statements/ Expressions in Column I with the Statements/ Expressions in Column II and indicate your answer by darkening the appropriate bubbles in the matrix given in the ORS.
|Column I||Column II|
|(A)||The minimum value of||(p)||0|
|(B)||Let A and B be matrices of real number, where A is symmetric, B is skew − symmetric and (A +B)(A − B) = (A − B) (A + B). If AB, where (AB)t is the transpose of the matrix AB, then the possible values of k are||(q)||1|
|(C)||Let a =. An integer k satisfying , must be less than||(r)||2|
|(D)||If , then the possible values of are||(s)||3|