There are four forms of linear transformation on the Cartesian plane which is used in engineering and they are:-
Translation moves a shape in the same direction and distance
Refection is a 'mirror image' of a shape
Enlargement changes the size of a shape by a scale factor
Rotation turns a shape through an angle at a fixed point
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linear transformation can be define as the vector of 1 function present in other vector are known as linear transformation.
An affine transformation is a linear transformation between vector spaces, followed by a translation.
The null space describes what gets sent to 0 during the transformation. Also known as the kernel of the transformation. That is, for a linear transformation T, the null space is the set of all x such that T(x) = 0.
Applications of ordinary differential equations are commonly used in the engineering field. The equation is used to find the relationship between the various parts of a bridge, as seen in the Euler-Bernoulli Beam Theory.
Linear algebra is usually taught in the last year of high school or the first year of college. Most schools will have calculus prerequisites for those who are seeking a degree in engineering.