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Mark only True statements O a. The determinant of a lower triangular matrix is the sum of the entries along the main diagonal. O b. The minor Mij equals the cofactor C₁ if i + j is odd. O c. If A is a 3 x 3 matrix, then is cofactor matrix is also symmetric. O d. The number obtained by a cofactor expansion of a matrix depends of the row or column chosen for the expansion. e. For every square matrix A and a real number c, the following formula holds: det(cA) = c det(A).

Mark only True statements O a. The determinant of a lower triangular matrix is the sum of the entries along the main diagonal. O b. The minor Mij equals the cofactor C₁ if i + j is odd. O c. If A is a 3 x 3 matrix, then is cofactor matrix is also symmetric. O d. The number obtained by a cofactor expansion of a matrix depends of the row or column chosen for the expansion. e. For every square matrix A and a real number c, the following formula holds: det(cA) = c det(A).

Algebra and Trigonometry (6th Edition)
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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please list only true statements here. if there is more than one option correct, list multiple. please, solve this problem as quick as possible. thank you !

Mark only True statements O a. The determinant of a lower triangular matrix is the sum of the entries along the main diagonal. O b. The minor M₁; equals the cofactor Cij if i + j is odd. O c. If A is a 3 x 3 matrix, then is cofactor matrix is also symmetric. O d. The number obtained by a cofactor expansion of a matrix depends of the row or column chosen for the expansion. O e. For every square matrix A and a real number c, the following formula holds: det (cA) = c det(A).
Transcribed Image Text:Mark only True statements O a. The determinant of a lower triangular matrix is the sum of the entries along the main diagonal. O b. The minor M₁; equals the cofactor Cij if i + j is odd. O c. If A is a 3 x 3 matrix, then is cofactor matrix is also symmetric. O d. The number obtained by a cofactor expansion of a matrix depends of the row or column chosen for the expansion. O e. For every square matrix A and a real number c, the following formula holds: det (cA) = c det(A).
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