Inverse matrix calculator (Gaussian elimination) PDF

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22/04/2021

Inverse matrix calculator (Gaussian elimination)

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Inverse matrix calculator (Gaussian elimination)

  This inverse matrix calculator help you to find the inverse matrix. Using this online calculator, you will receive a detailed step-by-step solution to your problem, which will help you understand the algorithm how to find the inverse matrix using Gaussian elimination.

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 

Calculator Guide Some theory Find Inverse Matrix Select the matrix size: 3×3 Please enter the matrice:

A=

1

3

5

2

7

13

3

11

22

A-1 =

You can input only integer numbers, decimals or fractions in this online calculator (-2.4, 5/7, ...). More in-depth information read at these rules.

Solution: Adjoin the identity matrix onto the right of the original matrix, so that you have A on the left side and the identity matrix on the right side. It will look like this: 1 2 3

3 7 11

5 13 22

1 0 0 0 1 0 0 0 1

Now find the inverse matrix. Using elementary row operations to transform the left side of the resulting matrix to the identity matrix. R2 - 2 R1 → R2 (multiply 1 row by 2 and subtract it from 2 row); R3 - 3 R1 → R3 (multiply 1 row by 3 and subtract it from 3 row) 1 3 5 0 1 3 0 2 7

1 0 0 -2 1 0 -3 0 1

R1 - 3 R2 → R1 (multiply 2 row by 3 and subtract it from 1 row); R3 - 2 R2 → R3 (multiply 2 row by 2 and subtract it from 3 row) 1 0 -4 0 1 3 0 0 1

7 -2 1

-3 1 -2

0 0 1

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22/04/2021

Inverse matrix calculator (Gaussian elimination)

R1 + 4 R3 → R1 (multiply 3 row by 4 and add it to 1 row); R2 - 3 R3 → R2 (multiply 3 row by 3 and subtract it from 2 row) 1 0 0 0 1 0 0 0 1

11 -5 1

-11 7 -2

4 -3 1

Answer:

A-1 =

11 -11 -5 7 1 -2

4 -3 1 OnlineMSchool.com

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Library: Inverse matrix Try online online calculators calculators with with matrixes matrixes  Try Matrix addition and subtraction calculator Matrix transpose calculator Matrix scalar multiplication calculator Matrix multiplication calculator Matrix power calculator Matrix determinant calculator Matrix rank calculator Inverse matrix calculator (Gaussian elimination) Inverse matrix calculator (Matrix of cofactors) Show all online calculators Try to to solve solve exercises exercises with with matrices. matrices.  Try Exercises. Addition and subtraction of matrices. Exercises. Matrix multiplication. Show all online exercises

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Inverse matrix calculator (Gaussian elimination) 9 Comments

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SA Sojib Ahamed can i get the source code of this solution plz............. Like · Reply · 9w

Muhammad Bilal Qamar super Like · Reply · 23w

Bhaggu Sharma super calculater Like · Reply · 2y

Johnny Valdez Good job on making this calculator! Like · Reply · 2y

Marvie Odok Thank you so much for this, it saved my life Like · Reply ·

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