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# tf.linalg.solve

Solves systems of linear equations.

### Used in the notebooks

Used in the guide Used in the tutorials

`Matrix` is a tensor of shape `[..., M, M]` whose inner-most 2 dimensions form square matrices. `Rhs` is a tensor of shape `[..., M, K]`. The `output` is a tensor shape `[..., M, K]`. If `adjoint` is `False` then each output matrix satisfies `matrix[..., :, :] * output[..., :, :] = rhs[..., :, :]`. If `adjoint` is `True` then each output matrix satisfies `adjoint(matrix[..., :, :]) * output[..., :, :] = rhs[..., :, :]`.

`matrix` A `Tensor`. Must be one of the following types: `float64`, `float32`, `half`, `complex64`, `complex128`. Shape is `[..., M, M]`.
`rhs` A `Tensor`. Must have the same type as `matrix`. Shape is `[..., M, K]`.
`adjoint` An optional `bool`. Defaults to `False`. Boolean indicating whether to solve with `matrix` or its (block-wise) adjoint.
`name` A name for the operation (optional).

A `Tensor`. Has the same type as `matrix`.

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