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dalvyx [7]
2 years ago
6

Help me with this, pls and thxs.

Mathematics
1 answer:
Vesna [10]2 years ago
3 0

The domain is all possible x.

The range is all possible y.

In other words, all the possible inputs that can lead to a real output and all the possible outputs that have a real input.

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Remember, a homogeneous system always is consistent. Then we can reason with the rank of the matrix.

If the system Ax=0 has only the trivial solution that's mean that the echelon form of A hasn't free variables, therefore each column of the matrix has a pivot.

Since each column has a pivot then we can form the reduced echelon form of the A, and leave each pivot as 1 and the others components of the column will be zero. This means that the reduced echelon form of A is the identity matrix and so on A is row equivalent to identity matrix.

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