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Linear Algebra With Applications
Found in: Page 289
Linear Algebra With Applications

Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

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Short Answer

Use Gaussian elimination to find the determinant of the matrices A in Exercises 1 through 10.

8. [0000210003010040010500016]

Therefore, the determinant of given matrix is given by,

det A=2

See the step by step solution

Step by Step Solution

Step 1: Definition

Gaussian elimination method is used to solve a system of linear equations.

Gaussian elimination provides a relatively efficient way of constructing the inverse to a matrix.

Interchanging two rows. Multiplying a row by a constant (any constant which is not zero).

Step 2: Given

Given Matrix,


Step 3: To find determinant by using Gaussian Eliminations

We do row interchanges in the following order: first and second row, second and third row, third and fourth row, fourth and fifth row.

Eventually, we get the matrix


We had two row interchanges, so

det A=-14 . A=2

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