b)

b)

b)

02000MA201092002

Check whether the vectors X, = (2, -1,3,2), ‏ولا‎ = (1,3,4,2) and X3=
(3, —5,2,2) are linearly independent or not

For what values of ய, the system of equations x +y+z=1,x+2y+4z=wu
and x + ‏كبر = 102 + بر4‎ got (i) unique solution (ii) infinite solution (iii) No

solution.
2 0 1

If the eigen values of the matrix A= |0 2 0| are 1,2 and 3. Find the eigen
1 0 2

values of 45 and 471 without using characteristic equation.
Find the nature, rank and signature of the quadratic form
3x? + Sy? + 322 - 2xy + 2xz - 292
⋅ ⋅⊿≖↥
Diagonalise [2 31

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