# Have a Turing Machine? Can it solve linear algebraic equations?

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In summary, a Turing Machine is a hypothetical device that can perform all tasks that modern computers can do, but at a much slower rate. It is not a physical machine, but rather a set of principles that can be implemented in various ways, such as through Assembly language. Some individuals have even created hardware and software simulations of Turing Machines.
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Has anybody built one?
I don't understand the Turing Machine. Amazingly this hypothetical device, designed in the 1930s can do everything the most powerful computers can do today, but it would just take much longer. Has anybody ever built one just to solve a simple linear algebraic equation? How long would the tape be to feed into the device to solve this equation?

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1. A Turing machine is not really a thing - it's more like a set of principles. Those principles can be implemented into a physical device in a pretty much infinite number of ways.
2. Every computer ever built is one form of implementation that meets the requirements to be a Turing machine.

The closest thing you might find to programming a Turimg machine might be Assembly language - though even that is much more complex.

I have - on my mental drawing board - a computer made of goldfish. Goldfish are the memory and processor.

256bits
256bits, anorlunda and Ibix

## 1. Can a Turing Machine solve any linear algebraic equation?

No, a Turing Machine is a theoretical model of computation that can perform any computable function, but it is limited to performing simple mathematical operations on binary inputs. It does not have the capability to solve complex linear algebraic equations.

## 2. What types of linear algebraic equations can a Turing Machine solve?

A Turing Machine can solve simple linear equations with binary inputs, such as addition, subtraction, multiplication, and division. It can also solve systems of linear equations with a limited number of variables and equations.

## 3. Can a Turing Machine solve equations with variables other than binary inputs?

No, a Turing Machine can only work with binary inputs, which means it can only solve equations with binary variables. It is not capable of handling equations with variables that have continuous values.

## 4. How efficient is a Turing Machine in solving linear algebraic equations?

A Turing Machine is not designed for efficiency, as it is a theoretical model rather than a practical computing device. It can solve simple linear equations, but it may take a significant amount of time and resources to solve more complex equations.

## 5. Are there any real-world applications of using a Turing Machine to solve linear algebraic equations?

No, a Turing Machine is not used in real-world applications for solving linear algebraic equations. It is mainly used as a theoretical concept to understand the limits of computation and to prove theorems related to computability and complexity.

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