Q5.    Construct a 3 × 4 matrix, whose elements are given by:

        (ii) a_{ij} = 2i - j

Answers (1)

A    3 × 4   matrix, 

(ii) a_{ij} = 2i - j

       a_1_1 = 2\times 1-1 =2-1=1           a_1_2 = 2\times 1-2 =2-2=0              a_1_3 = 2\times 1-3 =2-3=-1                                           

       a_2_1 = 2\times 2-1 =4-1=3           a_2_2= 2\times 2-2 =4-2=2              a_2_3 = 2\times 2-3 =4-3=1                                                         a_3_1 = 2\times 3-1 =6-1=5            a_3_2 = 2\times 3-2 =6-2=4            a_3_3 = 2\times 3-3 =6-3=3                                 

      a_1_4 = 2\times 1-4 =2-4=-2         a_2_4= 2\times 2-4 =4-4=0             a_3_4= 2\times 3-4 =6-4=2            

 

 

Hence, matrix is

    A = \begin{bmatrix} 1 & 0& -1& -2 \\ \ 3 & 2&1& 0 \\5&4&3&2\end{bmatrix}

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