Rank of the matrix A = 122212221 is
0
1
2
3
If w is a cube root of unity, then 1ww2ww21w21w is equal to
w
w2
In the interval - π4, π4, the number of real solutions of the equations sinxcosxcosxcosxsinxcosxcosxcosxsinx = 0 is
If A = 1111, then A100 is equal to
100 A
299 A
2100 A
99 A
B.
Since, A = 1111Now, A2 = 11111111 = 2222 = 21111 = 2AAgain, now A3 = A . A2 = A. 2A = 2A2 = 22ASimilarly, A100 = 299A
An orthogonal matrix is
cosα2sinα- 2sinαcosα
cosαsinα- sinαcosα
cosαsinαsinαcosα
1111
Which one of the following is not true?
Matrix addition is commutative
Matrix addition is associative
Matrix multiplication is commutative
Matrix multiplication is associative
If matrix 01- 2- 103λ- 30 is singular, then λ equal to
- 2
- 1
If A = 2x0xx and A-1 = - 10- 12, then x equals
- 12
S
12
If a ≠ b ≠ c, the value of x which satisfies the equation 0x - ax - bx + a0x - cx + bx + c0 = 0, is
x = 0
x = a
x = b
For how many values of x in the closed interval [- 4, - 1], is the matrix 3- 1 + x23- 1x + 2x + 3- 12 singular ?