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# Matrixes (Addition, subtraction, inverse part 1)

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### Matrixes (Addition, subtraction, inverse part 1)

1. 1. APLIMAT<br />
2. 2. Matrix<br />Matrix is defined as a rectangular array of numbers<br />A table of number or set of number<br />The numbers inside the matrix is called elements or entries.<br />
3. 3. Matrix<br />Column<br />A<br />Row<br />2 X 2<br />Column<br />Row<br />X<br />5 X 2<br />
4. 4. Matrix (Addition & Subtraction)<br />B<br />A<br />+<br />A<br />B<br />-<br />A<br />B<br />
5. 5. Matrix (Multiplication)<br />x<br />Solution:<br />
6. 6. Matrix (Multiplication)<br />x<br />
7. 7. Identity Matrix<br />Multiplying a matrix to its inverse will give the following matrices:<br />
8. 8. Inverse Matrix (Part 1)<br />Formula:<br />A<br />1<br />A<br />-1<br />___________________<br />ad - bc<br />
9. 9. Inverse Matrix (Part 1)<br />A<br />ad - bc<br />1<br />A<br />-1<br />___________________<br />A<br />
10. 10. Inverse Matrix (Part 1)<br />B<br />-1<br />1<br />B<br />___________________<br />(3*-5)-(-4*2)<br />
11. 11. Inverse Matrix (Part 1)<br />-1<br />B<br />x<br />OR<br />
12. 12. Inverse Matrix (Part 2)<br />A<br />Matrix of Minor<br />
13. 13. Inverse Matrix (Part 2)<br />Apply the signs<br />Matrix of Cofactors<br />Adjecate(A) <br />=<br />The diagonal stays the same.<br />
14. 14. Inverse Matrix (Part 2)<br />A<br />1*1 + 0*1 + 1*-2<br />A<br />-1<br />-1<br />A<br />