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Tag: linear algebra

Blogs, Linear Algebra

Diagonalized Matrix

August 3, 2019August 5, 2019 Dr. Justin Albert

We show, step-by-step, how to find a basis and matrix that gives a diagonalized matrix representation of the linear transformation.

Tagged linear algebra, linear transformation, Math, Mathematics, matrix representationLeave a comment
Blogs, Linear Algebra

Standard Matrix of a Transformation

August 3, 2019August 7, 2019 Dr. Justin Albert

We show, step-by-step, how to find the standard matrix for a given linear transformation.

Tagged linear algebra, linear transformation, Math, Mathematics, standard matrix1 Comment
Blogs, Linear Algebra

Kernel and Range

August 2, 2019August 5, 2019 Dr. Justin Albert

We show, step-by-step, how to find the kernel, range, rank and nullity of a linear transformation defined by matrix multiplication.

Tagged kernel, linear algebra, linear transformation, Math, Mathematics, rangeLeave a comment
Blogs, Linear Algebra

Orthogonal Complement

July 30, 2019 Dr. Justin Albert

We show, step-by-step, how to find the orthogonal complement of a given vector space.

Tagged linear algebra, Math, Mathematics, orthogonal, orthogonal complementLeave a comment
Blogs, Linear Algebra

Gram-Schmidt Orthonormalization

July 30, 2019August 5, 2019 Dr. Justin Albert

We show, step-by-step, how to find an orthonormal basis for a given vector space by using the Gram-Schmidt orthonormalization process.

Tagged linear algebra, Math, Mathematics, orthonormalizationLeave a comment

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