# If A = [54-23] and B = [-134-1], then find CT, such that 3A – 2B + C = I, whre I is e unit matrix of order 2. - Mathematics and Statistics

Sum

If A = [(5, 4),(-2, 3)] and B = [(-1, 3),(4, -1)], then find CT, such that 3A – 2B + C = I, whre I is e unit matrix of order 2.

#### Solution

3A – 2B + C = I
∴ C = I + 2B – 3A

∴ C = [(1, 0),(0, 1)] + 2[(-1, 3),(4, -1)] -3[(5, 4),(-2, 3)]

= [(1, 0),(0, 1)] +[(-2, 6),(8, -2)] - [(15, 12),(-6, 9)]

= [(1 - 2 - 15, 0 + 6 - 12),(0 + 8 + 6, 1 - 2 - 9)]

∴ C = [(-16, -6),(14, -10)]

∴ C = [(-16, 14),(-6, -10)].

Is there an error in this question or solution?