Question

If A = [a_ij]_{m x n'} B = [b_ij]_{m x n'} then the element C₂₃ of the matrix C=A+B is:

(a) a₁₃ + b₁₃ 

(b) a₂₃ + b₃₂ 

(c) a₂₃ + b₂₃ 

(d) a₃₂ + b₂₃

Answer 1

(c) A = [a_ij]_{m × n'}  B = [b_ij]_{m × n}

∴ C = A + B ⇒ [c_ij]_{m × n ,} = [a_ij + b_ij]_{m ×n} 

Hence, c₂₃ = a₂₃ + b₂₃