Question

Construct a matrix A=[aij] 2×2 with aij=i+j

Answer 1

Answer:

A= |2     3|

    |3      4|

Step-by-step explanation:

Given that,

A= [aij] where, A is a 2×2 matrix

As A is a 2×2 matrix,

the general form of this matrix is |a₁₁    a₁₂|

                                                      |a₂₁    a₂₂|

⇒aij = i+j    (∵ given)

so, a₁₁=1+1=2;

a₁₂=1+2=3

a₂₁=2+1=3

a₂₂=2+2=4

⇒A= |a₁₁    a₁₂|  = | 2     3|

        |a₂₁   a₂₂|     | 3     4|

∴A= | 2     3|

       | 3     4|

HOPE THIS WOULD BE HELPFUL FOR YOU