GATE IN 2017 Question Paper (12-Feb-2017) (Shift 2)

If v is a non-zero vector of dimension 3 × 1, then the matrix A = vv${}^T$ has a rank = _______

The figure shows a shape ABC and its mirror image A₁B₁C₁ across the horizontal axis (X-axis). The coordinate transformation matrix that maps ABC to A₁B₁C₁ is

Let z = x + jy where j = √-1. Then $\overline{\cos z}=$

The eigenvalues of the matrix A = ≤ft[ {*20c 1& - 1&5\\ 0&5&6\\ 0& - 6&5 } ] are

For a first order law pass filter unity dc gain and -3db corner frequency of 2000 π rad/s, the transfer function H(jω) is