If A and B are invertible matrices of the same order, then (AB)^–1 = B^–1 A^–1.

1

(a)

6

Let A = [a_ij]be a matric of order 2 x 3 and a_ij = \(\frac { i-j }{ i+j } \), write the value of a₂₃

1

(a)

-1/5

if \(\left[ \begin{matrix} a+b & 2 \\ 5 & ab \end{matrix} \right] =\left[ \begin{matrix} 6 & 2 \\ 5 & 8 \end{matrix} \right] \)find the relation between a and b 

1

(a)

a = 2b {a=4, b=2}

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 = |aij| = \(\left[ \begin{matrix} 2 & 3 & -5 \\ 1 & 4 & 9 \\ 0 & 7 & -2 \end{matrix} \right] \)and B =|bij| =\(\left[ \begin{matrix} 2 & -1 \\ -3 & 4 \\ 1 & 2 \end{matrix} \right] \) Write the value of
(i)a₂₂ + b₂₁
(ii) a₁₁b₁₁ +a₂₂b₂₂ 

1

(a)

1, 20