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# Recursos > sistemas de ecuaciones lineales y matrices

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Hipervinculo Matemáticas

## Invertible Square Matrix

"In order to determine if a matrix is an invertible square matrix, or a square matrix with an inverse, we can use determinants. The only matrix with a nonzero determinant is an invertible square matri ...

Hipervinculo Matemáticas

## The Identity Matrix

"When dealing with matrix computation, it is important to understand the identity matrix. We can think of the identity matrix as the multiplicative identity of square matrices, or the one of square ma ...

Hipervinculo Matemáticas

## The Cross Product of Vectors

"In Calculus we often use the cross product of vectors to find orthogonal vectors and the area of parallelograms in three dimensions. The cross product of vectors is found by identifying the 3x3 deter ...

Hipervinculo Matemáticas

## Square Matrix Inverse

"We use the identity matrix to calculate a square matrix inverse. In order to be invertible, a matrix must be square, and by finding the square matrix inverse, we can find the solution of a system of ...

Hipervinculo Matemáticas

## Square Matrices

"When we are learning about matrices and matrix operations, one of the first things we need to learn about are square matrices. Square matrices have many applications in the real world. Square matrice ...

Hipervinculo Matemáticas

## Simplifying Determinants

"Finding the determinant of a 3x3 square matrix or a larger square matrix can involve a lot of computation. To reduce the amount of computation, we can use methods for simplifying determinants. These ...

Hipervinculo Matemáticas

## Cross Product Area

"Finding the area of a parallelogram in two dimensions involves the area determinant of a 2x2 matrix, but if we're given a parallelogram in three dimensions we can use the cross product area. The cros ...

Hipervinculo Matemáticas

## Cramer's Rule

"Sometimes using matrix algebra or inverse matrices to find the solution to a system of linear equations can be tedious. Sometimes it is more convenient to use Cramer's Rule and determinants to solve ...

Hipervinculo Matemáticas

## Matrix Algebra

"One of the most commonly used applications of square matrices is solving systems of linear equations. The methods of solving systems of linear equations using matrix algebra are much more efficient t ...

Hipervinculo Matemáticas

## Area Determinant

"One thing that determinants are useful for is in calculating the area determinant of a parallelogram formed by 2 two-dimensional vectors. The matrix made from these two vectors has a determinant equa ...

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