Let A be an n X n matrix with n > 1 and suppose A satisfies 6A? + 9A + 31 = 0 Which one of the following statements is true? a. A is invertible and A-! = (I – 3A) O b. A has a right inverse but not a left inverse Ос. A has neither a left nor a right inverse O d. A is invertible and A- = (-21 – 3A) O e. A is invertible and A- = (-2A – 31) %3D O f. A has a left inverse but not a right inverse O g. A is invertible and A-! = (А/3 — I) -
Let A be an n X n matrix with n > 1 and suppose A satisfies 6A? + 9A + 31 = 0 Which one of the following statements is true? a. A is invertible and A-! = (I – 3A) O b. A has a right inverse but not a left inverse Ос. A has neither a left nor a right inverse O d. A is invertible and A- = (-21 – 3A) O e. A is invertible and A- = (-2A – 31) %3D O f. A has a left inverse but not a right inverse O g. A is invertible and A-! = (А/3 — I) -
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 26E
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![Let A be an n × n matrix with n > 1 and suppose A satisfies
6A² + 9A + 31 = 0
Which one of the following statements is true?
A is invertible and A-l = (I – 3A)
а.
b. A has a right inverse but not a left inverse
c. A has neither a left nor a right inverse
d. A is invertible and A- = (-21 – 3A)
A is invertible and A-l = (-2A – 31)
е.
f. A has a left inverse but not a right inverse
g. A is invertible and A- = (A/3 – I)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fe1fc35-672a-49fd-831b-9642c77888ed%2F5726407a-1422-4c93-8ec6-381f1531933f%2Fp6jfsyp_processed.png&w=3840&q=75)
Transcribed Image Text:Let A be an n × n matrix with n > 1 and suppose A satisfies
6A² + 9A + 31 = 0
Which one of the following statements is true?
A is invertible and A-l = (I – 3A)
а.
b. A has a right inverse but not a left inverse
c. A has neither a left nor a right inverse
d. A is invertible and A- = (-21 – 3A)
A is invertible and A-l = (-2A – 31)
е.
f. A has a left inverse but not a right inverse
g. A is invertible and A- = (A/3 – I)
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