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प्रश्न
If A = `[(5, -3),(4, -3),(-2, 1)]`, Prove that (2A)T = 2AT
उत्तर
A = `[(5, -3),(4, -3),(-2, 1)]`
∴ 2A = `2[(5, -3),(4, -3),(-2, 1)] = [(10, -6),(8, -6),(-4, 2)]`
∴ (2A)T = `[(10, 8, -4),(-6, -6, 2)]` ...(i)
AT = `[(5, 4, -2),(-3, -3, 1)]`
∴ 2AT = `[(5, 4, -2),(-3, -3, 1)]`
= `[(10, 8, -4),(-6, -6, 2)]` ...(ii)
From (i) and (ii), we get
(2A)T = 2AT
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