Question
Construct a 3 x 3 matrix w'hose elements are giv en by a,1, = 2 i – 3 j
Solution
Let A = [a i] be required 3 x3 matrix
where a,ij , = 2 i – 3 j
∴ a11, = 2–3 = –1. a12 = 2–6 = 4. a13,= 2–9 = 7
a21 = 4 — 3 = 1. a22 = 4 — 6 = —2 . a23 = 4 –9 = 5
a31 = 6 – 3 = 3, = 6 – 6 = 0 , a33 = 6 – 9 = –3
