Orthogonal Matrix Multiplication Problem 18: Given an orthogonal matrix A, compute AT A, where AT is the transpose of A. Verify that the result is the identity matrix. [0.5 -0.5 0.5 -0.5 0.5 0.5 -0.5 -0.5 0.5 -0.5 -0.5 0.5 0.5 0.5 0.5 0.5 Problem 19: Now compute A. AT, and confirm that this result is also the same as the previous problem. Dot Product Problem 20: Consider two 7× 1 matrices, u and v. First, compute u. v. Next, compute uv. Show that the results of these two computations are the same. U = -3 8 12 -13 7 9 4 V= 7 14
Orthogonal Matrix Multiplication Problem 18: Given an orthogonal matrix A, compute AT A, where AT is the transpose of A. Verify that the result is the identity matrix. [0.5 -0.5 0.5 -0.5 0.5 0.5 -0.5 -0.5 0.5 -0.5 -0.5 0.5 0.5 0.5 0.5 0.5 Problem 19: Now compute A. AT, and confirm that this result is also the same as the previous problem. Dot Product Problem 20: Consider two 7× 1 matrices, u and v. First, compute u. v. Next, compute uv. Show that the results of these two computations are the same. U = -3 8 12 -13 7 9 4 V= 7 14
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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