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True or False. Write True is the statement is always true and False otherwise. True talie True 1. A system of linear equation that do not have a point of intersection is inconsistent. 2. The homogeneous system of linear equation will always have non-trivial solution. 3. Trivial solution always exists in a homogeneous system of linear equation. 4. To add two matrices, the arguments must have equal size. 5. An identity matrix is a singular matrix. 6. A zero matrix is a singular matrix. 7. A singular matrix is a square matrix. 8. A diagonal matrix is in row echelon form. 9. A non-invertible matrix is singular. 10. Cramer's rule can find the solution of consistent and independent system of linear equation, 11.A square matrix in reduced row echelon form is an identity matrix. 12. Cramer's rule can find the solution of consistent and dependent system of linear equation, 13. The Reduced row echelon Form of a square matrix A is the identity matrix. The determinant of A is zero. 14. The Reduced row echelon Form of a square matrix A is NOT the identity matrix. The system of equation Ax-b is inconsistent. 15. The Reduced row echelon Form of a square matrix A is the identity matrix. The homogeneous system of equation Ax-0 possess only trivial solutions. 16. The Reduced row echelon Form of a square matrix A is the identity matrix. Matrix A is non-singular. 17. The determinant of Matrix A is 0, Ax-b is consistent. 18. The determinant of Matrix A is 0, the reduced row echelon form of A is not the identity 19. The determinant of Matrix A is 5, Ax-b is consistent. 20. The determinant of Matrix A is 4, Ax-0 possesses only trivial solution.

True or False. Write True is the statement is always true and False otherwise. True talie True 1. A system of linear equation that do not have a point of intersection is inconsistent. 2. The homogeneous system of linear equation will always have non-trivial solution. 3. Trivial solution always exists in a homogeneous system of linear equation. 4. To add two matrices, the arguments must have equal size. 5. An identity matrix is a singular matrix. 6. A zero matrix is a singular matrix. 7. A singular matrix is a square matrix. 8. A diagonal matrix is in row echelon form. 9. A non-invertible matrix is singular. 10. Cramer's rule can find the solution of consistent and independent system of linear equation, 11.A square matrix in reduced row echelon form is an identity matrix. 12. Cramer's rule can find the solution of consistent and dependent system of linear equation, 13. The Reduced row echelon Form of a square matrix A is the identity matrix. The determinant of A is zero. 14. The Reduced row echelon Form of a square matrix A is NOT the identity matrix. The system of equation Ax-b is inconsistent. 15. The Reduced row echelon Form of a square matrix A is the identity matrix. The homogeneous system of equation Ax-0 possess only trivial solutions. 16. The Reduced row echelon Form of a square matrix A is the identity matrix. Matrix A is non-singular. 17. The determinant of Matrix A is 0, Ax-b is consistent. 18. The determinant of Matrix A is 0, the reduced row echelon form of A is not the identity 19. The determinant of Matrix A is 5, Ax-b is consistent. 20. The determinant of Matrix A is 4, Ax-0 possesses only trivial solution.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section: Chapter Questions
Problem 15T: One hundred liters of a 50% solution is obtained by mixing a 60% solution with a 20% solution. Use a...
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True or False. Write True is the statement is always true and False otherwise. True talie True 1. A system of linear equation that do not have a point of intersection is inconsistent. 2. The homogeneous system of linear equation will always have non-trivial solution. 3. Trivial solution always exists in a homogeneous system of linear equation. 4. To add two matrices, the arguments must have equal size. 5. An identity matrix is a singular matrix. 6. A zero matrix is a singular matrix. 7. A singular matrix is a square matrix. 8. A diagonal matrix is in row echelon form. 9. A non-invertible matrix is singular. 10. Cramer's rule can find the solution of consistent and independent system of linear equation, 11.A square matrix in reduced row echelon form is an identity matrix. 12. Cramer's rule can find the solution of consistent and dependent system of linear equation, 13. The Reduced row echelon Form of a square matrix A is the identity matrix. The determinant of A is zero. 14. The Reduced row echelon Form of a square matrix A is NOT the identity matrix. The system of equation Ax-b is inconsistent. 15. The Reduced row echelon Form of a square matrix A is the identity matrix. The homogeneous system of equation Ax-0 possess only trivial solutions. 16. The Reduced row echelon Form of a square matrix A is the identity matrix. Matrix A is non-singular. 17. The determinant of Matrix A is 0, Ax-b is consistent. 18. The determinant of Matrix A is 0, the reduced row echelon form of A is not the identity 19. The determinant of Matrix A is 5, Ax-b is consistent. 20. The determinant of Matrix A is 4, Ax-0 possesses only trivial solution.
Transcribed Image Text:True or False. Write True is the statement is always true and False otherwise. True talie True 1. A system of linear equation that do not have a point of intersection is inconsistent. 2. The homogeneous system of linear equation will always have non-trivial solution. 3. Trivial solution always exists in a homogeneous system of linear equation. 4. To add two matrices, the arguments must have equal size. 5. An identity matrix is a singular matrix. 6. A zero matrix is a singular matrix. 7. A singular matrix is a square matrix. 8. A diagonal matrix is in row echelon form. 9. A non-invertible matrix is singular. 10. Cramer's rule can find the solution of consistent and independent system of linear equation, 11.A square matrix in reduced row echelon form is an identity matrix. 12. Cramer's rule can find the solution of consistent and dependent system of linear equation, 13. The Reduced row echelon Form of a square matrix A is the identity matrix. The determinant of A is zero. 14. The Reduced row echelon Form of a square matrix A is NOT the identity matrix. The system of equation Ax-b is inconsistent. 15. The Reduced row echelon Form of a square matrix A is the identity matrix. The homogeneous system of equation Ax-0 possess only trivial solutions. 16. The Reduced row echelon Form of a square matrix A is the identity matrix. Matrix A is non-singular. 17. The determinant of Matrix A is 0, Ax-b is consistent. 18. The determinant of Matrix A is 0, the reduced row echelon form of A is not the identity 19. The determinant of Matrix A is 5, Ax-b is consistent. 20. The determinant of Matrix A is 4, Ax-0 possesses only trivial solution.
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