Math Chapter Wise question with answer

Q01 For what value of λ, the system of equation 3x + 2y + z = 10, x + 2y + λz = 10, 2x+3y+2z = 10 is inconsistent? English · DSSSB PGT 2021 Q02 For what value of k the equations 2x – 3y + 2z = a, 5x + 4y – 2z = –3 and x–13y + kz = 9 will not have a unique sol... English · PGT 2010 Q03 For what value of λ the equations x+y+z=1, x+2y+4z=λ, x+4y+10z=λ2 have a solution: English · PGT 2002 Q04 For what value of λ, the equations x y z 1, x y z, 3 x y z Do not have a solution English · UP PCS (Pre) 2004 Q05 For what value of x (x, 0, 7), (1, 2, 1) and (2,–1, 3) are linearly dependent? English · PGT 2010 Q06 A pair of values of α and β for which the matrix A = 1 2 0 2 1 3 6 α β is invertible, is English · UKPSC GIC 2018