Let A = {x : -1\(\le\) x \(\le\) 1} and S be the subset of Aׂ defined b S = {(x,y)}:x²+y² = 1}m is it a function

1

(a)

Not A function

If following information regarding the number of men and women workers in three factories I, II and III is written in the form of 3 x 2 matrix. What does the entry in third row and second column represent

	Men Workerts	Women Workers
Factory I	30	25
Factory II	25	31
Factory III	27	26

1

(a)

Number of women workers in factory III

If A = \(\left[ \begin{matrix} sinx & -cosx \\ cosx & sinx \end{matrix} \right] \) 0 < x < \(\frac { \pi }{ 2 } \) and A + A' =I, Where I us unit matrix, find value of x.

1

(a)

x = \(\frac{\pi}{6}\)

Find the value of determinant \(\triangle =\left\lfloor \begin{matrix} 1 & 2 & 4 \\ 8 & 16 & 32 \\ 64 & 128 & 256 \end{matrix} \right\rfloor \)

1

(a)

0 (Using properties)

Let A be a diagonal A = (d₁, d₂, …, dn ) write the value of | A |

1

(a)

|A| = d₁,d₂.d₃......d_n

Find the points in the open interval (0, 3) where the gretest integer function f(x) = [x] is not differentiable

1

(a)

{1,2}