Question 823700
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3x - y + z = 4
x + 2y + 3z = 10
3x + 2y - z = -12
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copy and paste the above standard form linear equations in to this matrix-method solver:
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answer:
x= -1
y= -2
z= 5
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now for the augmented matrix:
3 -1 1 4
1 2 3 10
3 2 -1 -12
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as for solving the linear system from the augmented matrix, it involves performing a sequence of row operations on the matrix, which include:
1) interchange two rows
2) multiply a row by a constant
3) add a multiple of a row to another row
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the aim of the row operations is to make the left 3x3 sub-matrix into the identity matrix.
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having done so, the solution appears as the three remaining numbers in column 4
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Solve systems of linear equations up to 6-equations 6-variables:
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