If `A` is a `3xx3` skew-symmetric matrix, then trace of `A` is equal to `-1` b. `1` c. `|A|` d. none of these

If Ais symmetric and B is skew-symmetric matrix, then which of the following is/are CORRECT ?

In any triangle, the minimum value of r_1r_2r_3//r^3 is equal to 1 (b) 9 (c) 27 (d) none of these

f(x)=|cos xx1 2sinxx^2 2xtanxx1| . Then value of (lim)_(xvec0)(f(x))/x is equal to 1 b. -1 c. zero d. none of these

Elements of a matrix A or orddr 10xx10 are defined as a_(i j)=w^(i+j) (where w is cube root of unity), then trace (A) of the matrix is 0 b. 1 c. 3 d. none of these

If A is a skew symmetric matrix of order n and C is a column matrix of order nxx1 ,then C^(T)AC is

If A is a skew symmetric matrix, then B=(I-A)(I+A)^(-1) is (where I is an identity matrix of same order as of A )

The inverse of a diagonal matrix is a. a diagonal matrix b. a skew symmetric matrix c. a symmetric matrix d. none of these

If both A-1/2Ia n dA+1/2 are orthogonal matices, then (a) A is orthogonal (b) A is skew-symmetric matrix of even order (c) A^2=3/4I (d)none of these

Write the general form of a 3xx3 skew -symmetric matrix and prove that its determinant is 0.

If A is an invertible matrix, tehn (a d jdotA)^(-1) is equal to a d jdot(A^(-1)) b. A/(d e tdotA) c. A d. (detA)A