If x3636x6x3 = 2x7x7272x = 45x5x4x45 = 0, then x is equal to
9
- 9
0
- 1
If w be the complex cube root of unity and matrix H = w00w, then H70 is equal to
- H
H
H2
Let A = α255- α and A10 = 1024, then α is equal to
2
- 2
3
- 3
If w ≠ 1 is a cube root of unity, then the value of
1 + 2w100 + w200w2111 + w100 + 2w200www22+ w100 + w200 is equal to
1
w
w2
If α is a cube root of unity, then the value of
αα3α5α3α5αα3αα3 is equal to
3α3
3α3 + α6 + α9
3α + α2 + α3
If fα = 1αα2αα21α21α, then f33 is equal to
- 4
4
If A = 333333333, then A4 is equal to
27 A
81 A
243 A
729 A
If B is a non-singular matrix and A is a square matrix such that B-1AB exists, then det (B-1AB) is equal to
det(A-1)
det (B-1)
det(B)
det(A)
If 1, w, w2 are the cube roots of unity and if
, a2 + b2 is equal to
1 + w2
w2 - 1
1 + w
(1 + w)2
If A = 100x10xx1 and I = 100010001, then A3 - 4A2 + 3A + I is equal to
3I
I
- I
- 2I