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Construct a 2 × 2 Matrix, A = [A_(Ij)] Whose Elements Are Given By: A_(Ij) = (1 + 2j)^2/2 - CBSE (Science) Class 12 - Mathematics

Question

Construct a 2 × 2 matrix, A = [a_(ij)]  whose elements are given by:

a_(ij) = (1 + 2j)^2/2

Solution

In general, a 2 × 2 matrix is given by A = [(a_(11), a_(12)),(a_(21), a_(22))]

a_(ij) = ((i + 2j)^2)/2, i , j = 1, 2

:. a_(11) = ((1+2)^2)/2 = 3^2/2 = 9/2  a_(12) = (1+4)^2/2 = 5^2/2  = 25/2

a_(21) = (2+2)^2/2 = 4^2/2 = 8  a_(22) = (2+4)^2/2 = 6^2/2 = 18

Therefore, the required matrix is A = [(9/2, 25/2),(8,  18)]

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Solution Construct a 2 × 2 Matrix, A = [A_(Ij)] Whose Elements Are Given By: A_(Ij) = (1 + 2j)^2/2 Concept: Order of a Matrix.
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