Find Inverse of Matrix: 0,1,2; 1,0,3; 4,-3,8

Thread starter cscott
Start date Dec 3, 2005
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Inversion Matrix

In summary, the inverse of a matrix is a matrix that, when multiplied by the original matrix, results in an identity matrix. It can be found using the Gauss-Jordan elimination method or by finding the adjugate matrix and dividing it by the determinant of the original matrix. Not every matrix has an inverse, as it must be square and have a non-zero determinant. The determinant of a matrix is a scalar value that has important properties in mathematics. Finding the inverse of a matrix can be useful in various applications, such as solving systems of equations, calculating areas and volumes, and performing transformations in geometry. It is also a fundamental concept in linear algebra and has practical applications in fields such as science and engineering.

Dec 3, 2005

cscott

Can someone with a graphing calculator give me the inverse of this matrix?

[tex]
\begin{array}{ccc}
0&1&2\\
1&0&3\\
4&-3&8
\end{array}
[/tex]

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Dec 3, 2005

Fermat

Homework Helper

Try http://www.bluebit.gr/matrix-calculator/ for online matrix operations.

Courtesy of google

Dec 3, 2005

Atomos

-4.5 , 7 , -1.5
-2 , 4, -1
1.5, -2 , 0.5

Last edited: Dec 3, 2005

Dec 3, 2005

cscott

Aha! Thank you both.

1. What is the inverse of a matrix?

The inverse of a matrix is a matrix that, when multiplied by the original matrix, results in an identity matrix. In other words, the inverse "undoes" the original matrix.

2. How do you find the inverse of a matrix?

The inverse of a matrix can be found by using the Gauss-Jordan elimination method or by finding the adjugate matrix and dividing it by the determinant of the original matrix.

3. Can every matrix have an inverse?

No, not every matrix has an inverse. A matrix must be square (same number of rows and columns) and have a non-zero determinant in order to have an inverse.

4. What is the determinant of a matrix?

The determinant of a matrix is a scalar value that can be calculated using a specific formula. It is used to determine if a matrix has an inverse, and it also has other important properties in mathematics.

5. How can finding the inverse of a matrix be useful?

Finding the inverse of a matrix can be useful in many applications, such as solving systems of equations, calculating areas and volumes, and performing transformations in geometry. It is also an important concept in linear algebra and can be used in various fields of science and engineering.