In Exercises 1–6, determine whether or not the given pairs of matrices are inverse pairs. [HinT: See Quick Examples 1–3.]
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
- 3. Find the inverse of the matrix and verify that your answer correct. -1 0 4 - 5 8 -7 - 3 6 - 9arrow_forwardLet 4 A = 0 -11 -6 1 Write A as a product of elementary matrices.arrow_forwardSection 1: Determine whether each pair of matrices are inverses of each other. - [38]-[ 1. M-[83]-N-[1] = 4 5 = 0 2. P = -1 5arrow_forward
- 29. Determine whether the statement are TRUE or FALSE. Write TRUE if the Statement is True and False otherwisearrow_forwardShow that the matrix TR2 is the inverse matrix of (R-1)2T-1.arrow_forwardIn Exercises 9 and 10, find the inverse of the matrix, if it exists. 9. boto 0 -1 0 10 0 0 0 0 0 0 00 0 00 0 0 0 200 0 30 0 00 4 0 000 5arrow_forward
- Let A and B be two square matrices. Which of the following statement or statements are always correct? I. det (ATB") = det (BA) %3D II. det (B + A) = det (AB) III. det (AT +B") = det ((A+ B)") (a) Only I (b) Only II (c) Only III (d) Only I and III (e) Only II and IIIarrow_forwardAssume that an economy is based on three industrial sectors, agriculture (A), building (B), and energy (E). The technology matrix M, and demand matrix D (in billions of dollars), are shown below. Also shown below is the inverse of 1-M, where I is the identity matrix. M= A B 0.6 0.1 0.0 0.2 0.4 0.2 0.1 0.1 0.5 Find the output for each of the three sectors, X. x=(Simplify your answer.) 35 D= 22 6 (-Ma 2.8 0.5 0.2 1.2 2 0.8 0.8 0.5 2.2arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning