मराठी

Show that [123010110][-1100-11234]≠[-1100-11234][123010110] - Mathematics

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प्रश्न

Show that `[(1,2,3),(0,1,0),(1,1,0)][(-1,1,0),(0,-1,1),(2,3,4)]!=[(-1,1,0),(0,-1,1),(2,3,4)][(1,2,3),(0,1,0),(1,1,0)]`

बेरीज

उत्तर

Right side =` [(1,2,3),(0, 1, 0),(1,1,0)] [(-1, 1,0),(0,-1,1),(2,3,4)]`

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

`= [(5, 8, 14), (0, -1,1),(-1, 0, 1)]`

Left side = `[(-1, 1,0),(0,-1,1),(2,3,4)] [(1,2,3),(0, 1, 0),(1,1,0)]`

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

`= [(-1,-1,-3), (1,0,0),(6, 11,6)]`

Right side `ne` Life side

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पाठ 3: Matrices - Exercise 3.2 [पृष्ठ ८२]

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एनसीईआरटी Mathematics [English] Class 12
पाठ 3 Matrices
Exercise 3.2 | Q 14.2 | पृष्ठ ८२
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