Question 1: Find , if         [2003]

Answer:

Therefore

and

Hence

Question 2: Given , find: i) the order of matrix ii) the matrix   [2012]

Answer:

Therefore . Hence the order of Matrix is

Let 

Therefore

Therefore

 

and

Solving we get

Hence 

Question 3:  If find the value of   .         [1981]

Answer:

Therefore

Question 4: If  , and    find: i)    ii)       [1991]

Answer:

i)  

ii)

Question 5: Find  , if          [1992, 2013]

Answer:

 

 

Therefore

and

Question 6: Given ,   and ; Find  such that  .     [2005]

Answer:

 

Question 7: Find the value of  given that ,  ,   and .      [2005]

Answer:

Therefore

Question 8: If ,   and and  matrix of the same order and is the transpose of the matrix, find .     [2011]

Answer:

Question 9: Given  ,   and ; Find the matrix   such that  .     [2013]

Answer:

Question 10: Let ,   and . Find     [2006]

Answer:

Question 11: Let ,   . Find     [2007]

Answer:

Question 12: Given ,   and  and . FInd the value of .     [2008]

Answer:

Therefore

and

Question 13: Given ,   ,  and . Find .     [2010]

Answer:

Question 14: Evaluate       [2010]

Answer:

Question 15: If ,   , find .     [2012]

Answer:

Question 16: If . Find  .     [2014]

Answer: