Gaussian Elimination Quiz

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5 Questions

What is Gaussian elimination also known as?

Row reduction

How is the lower left-hand corner of the matrix modified during row reduction?

Filled with zeros as much as possible

What are the three types of elementary row operations used in Gaussian elimination?

Swapping two rows, Multiplying a row by a nonzero number, Adding a multiple of one row to another row

What is the method named after in Gaussian elimination?

Carl Friedrich Gauss

What can Gaussian elimination be used to compute in addition to solving systems of linear equations?

The rank of a matrix, the determinant of a square matrix, and the inverse of an invertible matrix

Test your knowledge of Gaussian elimination and its applications with this quiz. Challenge yourself with questions on solving systems of linear equations, computing the rank and determinant of matrices, and finding the inverse of invertible matrices using this powerful algorithm.

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