Maharashtra State BoardHSC Commerce 12th Board Exam
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If A = Band C[2-35-4-61],B=[-122203]and C=[43-14-21], Show that - Mathematics and Statistics

Sum

If A = `[(2, -3),(5, -4),(-6, 1)], "B" = [(-1, 2),(2, 2),(0, 3)] "and C" = [(4, 3),(-1, 4),(-2, 1)]`, Show that A + B = B + A

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Solution

A + B = `[(2, -3),(5, -4),(-6, 1)] + [(-1, 2),(2, 2),(0, 3)]`

= `[(2 - 1 , -3 + 2),(5 + 2, -4 + 2),(-6 + 0, 1 + 3)]`

∴ A + B = `[(1, -1),(7, -2),(-6, 4)]`       ....(i)

B + A = `[(-1, 2),(2, 2),(0, 3)] + [(2, -3),(5, -4),(-6, 1)]`

= `[(-1 + 2, 2 - 3),(2 + 5, 2 - 4),(0 - 6, 3 + 1)]`

∴ B + A = `[(1, -1),(7, -2),(-6, 4)]`       ....(ii)

From (i) and (ii), we get
A + B = B + A.

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