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- IIT JAM
- Mathematics (MA)
For any n xn matrix b, let n(b) = {x \u20ac rn : bx = o} be the null space ofb let a be a 4x4 matrix with dim (n (a-4 1)) =l and rank (a) = 3. then 0,2 and 4 are eig
For any n xn matrix B, let N(B) = {X \u20AC Rn : BX = O} be the null space ofB Let A be a 4x4 Matrix with dim (N (A-4 1)) =l and rank (A) = 3. then 0,2 and 4 are eigenvalues of A determinant (A) = 0 A is not diagonalizable trace (A) = 8
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Piyush pachauri
Only Option B is correct by the given information because A may or may not be diagonalisable depending on information I add.
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Satpal singh
otherwise only option 2 is correct
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Satpal singh
thats why i m assuming
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Satpal singh
since there is no other information given about eigen values
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Piyush pachauri
Any doubt then you can ask