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Working with an ellipse not in standard form

What is an ellipse? Definition of key points and distances

Solving exponential equations using logarithms

Finding and using the matrix of a linear transformation relative to non standard bases

Using similar matrices to find the matrix of a linear transformation, example 2

Using similar matrices to find the matrix of a linear transformation, example 1

Finding matrices of compositions of linear transformations

Finding the inverse of a linear transformation

Is a linear transformation one to one? Onto? An isomorphism?

Given a linear transformation, find the matrix of the linear transformation

Given images of a linear transformation, find another image

Given a linear transformation, find the kernel and range

Given a linear transformation, find an image and a preimage

Inner product operations for sets of continuous functions

Inner product operations in the set of 2x2 matrices

Use a non-standard inner product in R^3

Determine an orthogonal basis in R^4

Find a coordinate matrix

Given a matrix, find all the good stuff

Determine if a given column matrix is in the column space

What is a standard basis?

Find a null space and nullity of a 3x3 matrix

Axioms of a vector space: non-standard operations

Bases in R^3