If A = axya and if xy = 1, then det (AAT) is equal to
a2 - 1
(a2 + 1)2
1 - a2
(a2 - 1)2
If A = xx - 12x1 and if det A = - 9, then the avlue of x are
32, - 3
- 23, 3
23, 3
- 32, 3
The value of the determinant sin236°cos236°cot135°sin253°cot135°cos253°cot135°cos225°cos265° is
- 2
- 1
0
1
If A = x1- x01- 1x07 and det(A) = 3012- 10067, then value of x is
- 3
3
2
- 8
The coefficient of x2 in the expansion of the determinnat x2x3 + 1x5 + 2x3 + 3x2 + xx3 + x4x + 4x3 + x423 is
- 10
- 6
Let A = 1- 1 - i32- 1 + i321. Then A100 is equal to
2100A
299A
298A
A
B.
A = 1- 1 - i32- 1 + i321Let A = - 1 + i32 = w⇒ w2 = - 1 - i3222 = 1 - 2i3 - 34 = - 2 - 2i34 = - 1 - i32∴ A = 1w2w11w2w1 = 1 + w3w2 + w2w + ww3 + 1 = 22w22w2 ∵ w3 = 1 = 21w2w1 = 2A⇒ A3 = A2 . A = 2A . A = 2A2 = 4A∴ An = 2n - 1A⇒ A100 = 2100 - 1A = 299A
If f(x) = xx2x312x3x2026x, then f'(x) is equal to
x3 + 6x2
6x3
3x
6x2
If A = 4kk0kk00k and det(A) = 256, then k equals
4
5
6
8
If A = 1011, then An + nI is equal to
I
nA
I + nA
I - nA
If A = 1111, then A2017 is equal to
22015A
22016A
22014A
22017A