We show, step-by-step, how to find a basis and matrix that gives a diagonalized matrix representation of the linear transformation.
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Tag: linear algebra
Standard Matrix of a Transformation
We show, step-by-step, how to find the standard matrix for a given linear transformation.
Kernel and Range
We show, step-by-step, how to find the kernel, range, rank and nullity of a linear transformation defined by matrix multiplication.
Orthogonal Complement
We show, step-by-step, how to find the orthogonal complement of a given vector space.
Gram-Schmidt Orthonormalization
We show, step-by-step, how to find an orthonormal basis for a given vector space by using the Gram-Schmidt orthonormalization process.