For Problem
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Differential Equations and Linear Algebra (4th Edition)
- The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six triple products. Show that the determinant of a 44 matrix involves 24 quadruple products.arrow_forwardSolve for the determinant of the following matrix. Show your complete solution.5 -5 4 2 -2 -4 5 -13 5 4 -1 -3 -5 -4 0arrow_forwardSuppose you have the following system of equations: 35 x1 + 31 x2 + 12 x3 = 2974 7 x1 + 14 x2 + 27 x3 = 2054 20 x1 + 13 x2 + 14 x3 = 1830 a. Convert this system of equations in the matrix form and calculate the determinant of the coefficient matrix. What is the determinant of the coefficient matrix? b. Take the coefficient matrix, and calculate its co-factors, and the adjoint. Use the adjoint to invert the matrix. Use inverse of the coefficient matrix to solve the system of equations. Right now, enter the following values: c. What is the value of c13 , c23 , C32 ? d. What is the value of x1? x2, x3?arrow_forward
- If A = 5 1 and B = 3 -6 3 2 1 -3 Find:- a) A2b) determinant A c) ATd) B-1arrow_forwardIf the determinant of a 4×4 matrix A is det(A)=−5, and the matrix B is obtained from A by swapping the second and fourth columns, thendet(?)=arrow_forwardIf the determinant of a 4×4 matrix A is det(A)=2, and the matrix D is obtained from A by adding 5 times the third row to the second, thendet(?)=arrow_forward
- For the matrix A = 0 5 8 Cofactor C21? 4 5 2 9 4 4arrow_forwardGiven the following matrix: B = a b c c d e f g h Let's say that det(A) = −6. Let B be another 3 × 3 matrix (which is not given here) with det(B) = 6. How could you find the determinant of the following matrices? D = 5A^-1B^Tarrow_forwardFind the determinant of the following matrix5 -2 3 0 4 23 3 4arrow_forward
- Find the determinant of the matrix, if it exists. (If an answer does not exist, enter DNE.) -5 0 2 -9arrow_forwardIf the determinant of the coefficient matrix of the system hx+hy = 3-x+hy = 2is 6, find the positive value of h.arrow_forwardFind the determinant of the following matrix 2 -1 -6 -1 2 5 5 4 0arrow_forward
- Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning