LINEAR ALGEBRA:
- know and skilled in matrix operations: addition, scalar product, transpose, matrix multiplication, and know when they can be and when not. Knowing the noncommutativity of the product.
- To know the identity matrix I and the definition of inverse matrix. Knowing when a matrix has an inverse and, where appropriate, calculate (up to 3x3 matrices of order).
- Know how to calculate the determinants of order 2 and order 3.
- Know the properties of determinants and know how to apply to the calculation of these.
- Knowing that three vectors in a space of dimension three are linearly dependent if and only if the determinant is zero.
Well that is very clear.
Well that is very clear.
- Know how to calculate the rank of a matrix.
Rank of a matrix: the number lines of this matrix (rows or columns) that are linearly independent.
A line is linearly dependent to one or more when you can establish a linear combination between them.
A line is linearly independent of one or more when you can establish a linear combination between them.
The rank of a matrix is \u200b\u200bsymbolized: rank (A) or r (A ).
- Solve problems that may arise through a system of equations.
- Know how to express a system of linear equations in matrix form and introduce the concept of the extended matrix.
- Know what you are compatible systems (determinate and indeterminate) and incompatible.
- Learn classified (as determined compatible, compatible or incompatible unspecified) a system of linear equations with no more than three unknowns and depends, as lot, a factor and, if necessary, to resolve.
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