O a. Let A and B ben x n matrices. If A or B (or both) are not invertible, then neither is AB. O b. It is possible for a system of linear equations to have exactly two solutions. OcLet A be an ra x 7 matrix. Then the linear system Ax= 4x has a unique solution if and only if A-41 is an invertible matrix. d. If A is a square matrix, and if the linear system Ax=b has a unique solution, then the linear system Axe may not have a unique solution. Oe. If A and B are n x n matrices such that AB= I then BA #I

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Mark only correct statements.
O a. Let A and B ben x n matrices. If A or B (or both) are not invertible, then neither is AB.
O b. It is possible for a system of linear equations to have exactly two solutions.
Oc Let A be an ra x 7 matrix. Then the linear system Ax= 4x has a unique solution if and only if A-4I is an invertible matrix.
4
d. If A is a square matrix, and if the linear system Ax=b has a unique solution, then the linear system Axe may not have a unique solution.
Oe. If A and B are n x n matrices such that AB= I, then BA #I
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Transcribed Image Text:Mark only correct statements. O a. Let A and B ben x n matrices. If A or B (or both) are not invertible, then neither is AB. O b. It is possible for a system of linear equations to have exactly two solutions. Oc Let A be an ra x 7 matrix. Then the linear system Ax= 4x has a unique solution if and only if A-4I is an invertible matrix. 4 d. If A is a square matrix, and if the linear system Ax=b has a unique solution, then the linear system Axe may not have a unique solution. Oe. If A and B are n x n matrices such that AB= I, then BA #I Очистить мой выбор
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