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Show that if A is a square matrix that satisfies the equation 2 A²-A-I-O, then its inverse is A-¹ = 2 A-I. The equation 24² - A - I = O implies that ---Select--- It follows that ---Select-- v Notice the last equation means that ---Select--- multiplied with A is the identity, which is what we wanted to prove.

Show that if A is a square matrix that satisfies the equation 2 A²-A-I-O, then its inverse is A-¹ = 2 A-I. The equation 24² - A - I = O implies that ---Select--- It follows that ---Select-- v Notice the last equation means that ---Select--- multiplied with A is the identity, which is what we wanted to prove.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.8: Solving Systems With Cramer's Rule
Problem 3SE: Explain what it means in terms of an inverse for a matrix to have a 0 determinant.
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Show that if A is square matrix that satisfies the equation 2 A² - A - I = O, then its inverse is A-¹ = 2 A-I. The equation 24² - A - I = O implies that ---Select--- ✓. It follows that ---Select--- ✓. Notice the last equation means that ---Select--- multiplied with A is the identity, which is what we wanted to prove.
Transcribed Image Text:Show that if A is square matrix that satisfies the equation 2 A² - A - I = O, then its inverse is A-¹ = 2 A-I. The equation 24² - A - I = O implies that ---Select--- ✓. It follows that ---Select--- ✓. Notice the last equation means that ---Select--- multiplied with A is the identity, which is what we wanted to prove.
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