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If `A [(3,7),(2,4)], B = [(0,2),(5,3)]` and `C = [(1,-5),(-4,6)]` Find Ab - 5c - Mathematics

if `A [(3,7),(2,4)], B = [(0,2),(5,3)]`  and `C = [(1,-5),(-4,6)]` Find AB - 5C

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Solution

`AB= [(3,7),(2,4)][(0,2),(5,3)]`

`= [(3xx0+7xx5, 3xx2+7xx3),(2xx0+4xx5, 2xx2+ 4xx3)]`

`= [(0+35, 6+21),(0+20,4+12)]`

`= [(35,27),(20,16)]`

`5C = 5[(1,-5),(-4, 6)] = [(5,-25),(-20,30)]`

`AB- 5C = [(35,27),(20,16)]- [(5,-25),(-20,30)] = [(30,52),(40,-14)]`

Concept: Matrices Examples
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