Solve the following system of equations by matrix method :`x+y-z=3 , 2x+3y+z=10 ,3x-y-7z=1`

Explanation

We have given

`x+y-z=3`,

`2x+3y+z=10` ,

`3x-y-7z=1`

We can write them in matrix from AX=B....(i)

`[(1,1,-1),(2,3,1),(3,-1,-7)][(x),(y),(z)]=[(3),(10),(1)]`

Determinant of matrix A,

∣A∣`=|(1,1,-1),(2,3,1),(3,-1,-7)|`

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