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If A=[(1,-2,0),(2,1,3),(0,-2,1)] and B=[...

If `A=[(1,-2,0),(2,1,3),(0,-2,1)] and B=[(7,2,-6),(-2,1,-3),(-4,2,5)]` , find AB
Hence , solve the system of equation
x-2y=10, 2x+y+3z=8 and -2y+z=7.

Text Solution

Verified by Experts

We have given `A=[(1,-2,0),(2,1,3),(0,-2,1)]` and `B=[(7,2,-6),(-2,1,-3),(-4,2,5)]`
And `x-2y=10, 2x+y+3z=8` and `-2y+z=7`
Then
`AB=[(1,-2,0),(2,1,3),(0,-2,1)][(7,2,-6),(-2,1,-3),(-4,2,5)]`
`AB=11[(1,0,0),(0,1,0),(0,0,1)]`
We can write them in matrix from AX=B....(i)
`[(1,-2, 0),( 2, 1,3),( 0, -2,1)][(x),(y),(z)]=[(10),(8),(7)]`
Now multiply matrix B in this we get
...
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