Across
- 5. It is one of the branches of mathematics that studies concepts such as vectors, matrices, systems of linear equations and in a more formal approach, vector spaces, and their linear transformations.
- 6. It is an algebraic structure created from a non-empty set, an internal operation (called sum, defined for the elements of the set) and an external operation (called product by a scalar, defined between said set and another set, with body structure ), with 8 fundamental properties.
- 8. When changing between the bases of two vectors, the expression Mac = (Mca) ^ (- 1) means that the change matrices are
- 9. It consists of operating between the equations, such as adding or subtracting both equations, so that one of the unknowns disappears. Thus, we obtain an equation with a single unknown.
- 10. It consists of isolating the same unknown in both equations in order to equalize the expressions, thus obtaining an equation with a single unknown.
- 12. At least one of them can be expressed as a linear combination of the others. Two plane vectors if, and only if, they are parallel. Two free vectors of the plane are linearly dependent if their components are proportional.
- 14. This method only allows adding vectors two by two. It consists of graphically arranging the two vectors so that the origins of both coincide at one point, drawing lines parallel to each of the vectors.
Down
- 1. It consists of clearing or isolating one of the unknowns (for example, x) and substitute its expression in the other equation. In this way, we will obtain a first degree equation with the other unknown, (y).
- 2. Defined as an alternate multilinear form of a body, it was introduced to study the number of solutions of systems of linear equations.
- 3. It is a law of linear algebra to determine the solutions of a system of linear equations, find matrices and inverses, their solutions are obtained by reducing the system.
- 4. Name that refers to the number of vectors in each base.
- 7. two vectors are chosen as representatives such that the final end of one coincides with the origin end of the other vector.
- 11. It is an equality that has one or more variables raised to the first power, solving them means finding the value of the variables with which equality is satisfied.
- 13. Rectangular arrangement of numbers, symbols or expressions, the dimensions of which are described in the amounts of rows (usually m) by the number of columns (n) they have.