Long Answer TypeSolve the following system of equations by matrix method:
2x – 3y + 5z =11
3 x + 2y – 4 z = – 5
x + y – 2 z = –3
Using matrices, following system of linear equations:
x – y + 2 z = 1
2 y – 3z = 1
3x – 2y + 4z = 2
The given equations are
x - y + 2z = 1
2y – 3z = 1
3x – 2y + 4z = 2
These equations can be written as
or 
Co-factors of the elements of first row of | A | are
i.e. 8 – 6, – (0 + 9), 0 – 6 i.e. 2, – 9, – 6 respectively.
Co-factors of the elements of second row of | A | are
i.e. – (– 4 + 4), 4 – 6, – (– 2 + 7) i.e. 0, – 2, – 1 respectively.
Co-factors of the elements of third row of | A | are
i.e. 3 – 4, – (– 3 – 0), 2+ 0 i.e. – 1, 3, 2 respectively.
Use matrix method to solve the following system of equations:
x – y + 2z = 7
3x + 4 y – 5 z = – 5
2x – y + 3z = 12
Use matrix method to solve the following system of equations:
x – y + 2z = 7
3x + 4 y – 5 z = – 5
2x – y + 3z = 12
Use matrix method to solve the following system of equations:
5x – y + z = 4
3x + 2y – 5z = 2
x + 3 y – 2 z = 5
Use matrix method to solve the following system of equations:
4x + 2y + 3z = 2
x + y + z = 1
3x + y – 2z = 5
Use matrix method to solve the following system of equations:
2x + 3y + 3z = 5
x – 2 y + z = – 4
3x – y – 2z = 3
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