For Problems 46-49, determine
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Differential Equations and Linear Algebra (4th Edition)
- Solve for the 2 x 2 matrix X: 1 2 X + 23 5 3 X.arrow_forward2. Assume that all the operations are properly defined, solve the following equation for the unknown matrix X: ((A+X)" – 1) = B Use the result to evaluate X using the matrices A and 6 -2 B =arrow_forwardPlease, help with this problem.arrow_forward
- Factor these two matrices into A = XAX-¹: A 03 X Λ = A: = 3 3 X = Λ 9 9 (Note that you must provide both X and A for each matrix.)arrow_forwardFor questions 30-34 consider the following: The relationship between displacement, s, velocity, v and acceleration, a of a piston is given by s+2v+2a = 4 4a +3s - v= 25 2v+3s - a=-4 Using the inverse of a matrix method determine s, v and a. 30. The coefficient matrix A is given by 31. The determinant of A is -7 15 9 32. If the cofactor matrix is 6 -7 then the Adjoint matrix is 4 10 2 -7 a bc 33. If A1 =| d e f, then the value of f is 34. II >arrow_forwardFor questions 30-34 consider the following: The relationship between displacement, s, velocity, v and acceleration, a of a piston is given by s+2v+2a=4 4a+3s-v=25 2v+3s-a=-4 Using the inverse of a matrix method determine s, v and a. 30. The coefficient matrix A is given by 31. The determinant of A is -7 15 9 32. If the cofactor matrix is 6 -7 10 2 -7 then the Adjoint matrix is a bc =def,then the value of f is 33. If A-1 ghi 34. V aarrow_forward
- For questions 30-34 consider the following: The relationship between displacement, s, velocity, v and acceleration, a of a piston is given by s+2v+2a=4 4a+3s -v=25 2v+3s -a =-4 Using the inverse of a matrix method determine s, v and a. 30. The coefficient matrix A is given by 31. The determinant of A is (-7 15 9 32. If the cofactor matrix is 6 -7 10 2 -7 then the Adjoint matrix is a bc =def, then the value of f is 33. If A-1 g hi 34. v = aarrow_forwardFor 11. Express the square matrix A as the product of elementary matrices and the reduced echelon form of A. For 12. Express the square matrix A and its inverse as a product ofelementary matrices.arrow_forwardFor questions 30-34 consider the following: The relationship between displacement, s, velocity, v and acceleration, a of a piston is given by s+2v+2a=4 4a+3s - v=25 2v+3s-a=-4 Using the inverse of a matrix method determine s, v and a. 30. The coefficient matrix A is given by The determinant of A is 31. (-7 15 9 32. If the cofactor matrix is 6 -7 4 then the Adjoint matrix is 10 2 -7 a b c 33. If A-1= d e f, then the value of f is (8 hi 34. aarrow_forward
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