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OSPINA EDUCAT ON
Inverse matrix
Inverse Matrix (A^-1) is an important tool in the mathematical world. It is used in solving a system of linear equations. Inverse matrices are frequently used to encrypt or decrypt message codes.
MATRIX 2X2
MATRIX 3X3
Follow these five steps:
1. Matrix of minors
2. Matrix of cofactors
3. Transpose
4. Determinant
5. Inverse matrix 3x3
Step 1. Matrix of minors
![iv 3x3.1.jpg](https://static.wixstatic.com/media/5fe0fb_21cb709ad9984081b57767e4983395b8~mv2.jpg/v1/fill/w_600,h_441,al_c,q_80,usm_0.66_1.00_0.01,enc_avif,quality_auto/iv%203x3_1.jpg)
Step 2. Matrix of cofactors: This is easy! Just apply a "checkerboard" of minuses to the "Matrix of Minors". In other words, we need to change the sign of alternate cells, like this:
![iv 3x3.2.jpg](https://static.wixstatic.com/media/5fe0fb_62c5f162e5dc4b5388949126d9a22267~mv2.jpg/v1/crop/x_14,y_231,w_772,h_167/fill/w_664,h_144,al_c,q_80,usm_0.66_1.00_0.01,enc_avif,quality_auto/iv%203x3_2.jpg)
Step 3. Transpose: Now "Transpose" all elements of the previous matrix... Rows become columns or columns become rows.
![iv 3x3.3.jpg](https://static.wixstatic.com/media/5fe0fb_be5191d928994a6e8a3748aa60acd528~mv2.jpg/v1/fill/w_322,h_193,al_c,q_80,enc_avif,quality_auto/iv%203x3_3.jpg)
Step 4. Determinant: It is 10
Step 5. Inverse Matrix:
![iv 3x3.5.jpg](https://static.wixstatic.com/media/5fe0fb_887bf7e0e78742a7a3e617a53704c788~mv2.jpg/v1/fill/w_741,h_431,al_c,q_80,usm_0.66_1.00_0.01,enc_avif,quality_auto/iv%203x3_5.jpg)
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