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CSIR NET Mathematics 2022| Linear Algebra (4 OCTOBER)
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Let A & B be two n × n matrices over a field F then
Question 2Multiple Correct Options
Let M be a real matrix which has 0, 1, and -1 as eigen values which of the following is true of M?
If then which of the following is/are true.
Let A be the n × n matrix whose main diagonal entries are zero and elsewhere 1
i.e., aii = 0, 1 ≤ i ≤ n & aij = 1, i ≠ j then what are eigenvalues of A
Let V be the set of all polynomials of degree ≤ 2. Define T: V → V by T(p(x)) = p (1) + p (2) x + p (0) x2, p(x) ∈ V. Then the trace of the matrix representing T is
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Oct 4CSIR NET & SET