Delhi-2011

State the reason for the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} not to be transitive.

For a 2 × 2 matrix, A = [a_ij], whose elements are given by write the value of a₁₂.

For what value of x, the matrixis singular?

Write A^–1 for

Write the value of

Write the value of

For what value of ‘a’ the vectors and are collinear?

Write the direction cosines of the vector

Write the intercept cut off by the plane
2x + y – z =5 on x–axis.