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If a =(1, 2),(2,1) and B = (2, 1),(1, 2) Find A(Ba) - Mathematics

Sum

If `A = [(1, 2),(2,1)]` and `B = [(2, 1),(1, 2)]` Find A(BA)

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Solution

`A = [(1, 2),(2, 1)], B = [(2, 1),(1, 2)]`

`BA = [(2, 1),(1, 2)][(1, 2),(2, 1)]`

`= [(2 + 2, 4 + 1),(1 + 4, 2 + 2)]`

`= [(4, 5),(5, 4)]`

`A(BA) = [(1, 2),(4, 5)],[(4, 5),(5, 4)]`

`= [(4 + 10, 5 + 8),(8 + 5, 10 + 4)]`

`= [(14, 13),(13, 14)]`

Concept: Matrices Examples
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Selina Concise Maths Class 10 ICSE
Chapter 9 Matrices
Exercise 9 (D) | Q 8.1 | Page 131
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