Exploring Math 2800 Take Home 04
Exploring Math 2800 Take Home 04 reveals several interesting facts.
- We prove the orthogonal complement of a vector space is a subspace and compute an orthogonal complement in R^3.
- We prove two sets are vector spaces by applying the subspace criteria.
- We find a matrix representation of a linear transformation.
- We factor a matrix and its inverse into elementary matrices.
- We find a matrix representation of a linear transformation.
In-Depth Information on Math 2800 Take Home 04
We show a set of polynomials is linearly independent and enlarge it to a basis. We find the inverse of a matrix using row operations. We prove a formula for the square of a diagonal matrix. We find a basis for the kernel of a linear transformation and its image.
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