Explanation Theorem 3: Let A be an ( n × n ) matrix. Then A is singular if and only if det ( A ) = 0 . Theorem 3 is already familiar for the case in which A is a ( 2 × 2 ) matrix. We will be able to use Theorem 3 to devise a procedure for solving the Eigen value problem. We can conclude that to determinants by observing that it is easy to calculate the determinant of a triangular matrix. Calculation: The given matrix A = [ 2 1 − 1 2 ] We can calculate the determinant of the given matrix and use Theorem 3 to state whether the matrix is singular or non-singular.

Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)

5th Edition

ISBN: 9780134689531

Author: Lee Johnson, Dean Riess, Jimmy Arnold

Publisher: PEARSON

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Chapter 4.2, Problem 8E

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The determinant of the matrix A=[21−12] and state whether it is singular or nonsingular.

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Chapter 4.2, Problem 7E

Chapter 4.2, Problem 9E

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Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)

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The determinant of the matrix A = [ 2 1 − 1 2 ] and state whether it is singular or nonsingular.

Solution Summary: The author explains how to calculate the determinant of the given matrix and state whether it is singular or non-singular.

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To calculate:

The determinant of the matrix A=[21−12] and state whether it is singular or nonsingular.

Want to see the full answer?

Chapter 4 Solutions

The determinant of the matrix A = [ 2 1 − 1 2 ] and state whether it is singular or nonsingular.

Solution Summary: The author explains how to calculate the determinant of the given matrix and state whether it is singular or non-singular.

Videos

To calculate: The determinant of the matrix A=[21−12] and state whether it is singular or nonsingular.

Want to see the full answer?

Chapter 4 Solutions

To calculate:

The determinant of the matrix A=[21−12] and state whether it is singular or nonsingular.