(a) Let T be the linear transformation from R³ to R³ given by orthogonal projection onto the xy-plane. (Then T is represented by the matrix 1 0 0 A = 0 1 0 1.) What is det A? 0 0 0 (b) Let N be the 2-dimensional square in R3 defined 1 0. by 0 and 1 | (which lies in the xy-plane). What is the area of N? 1 What is the area of T(N)? 0 (c) Now let B be the transformation of R3 defined by 1 0 0 0 2 0 0 0 3 (d) What is det B? 6
(a) Let T be the linear transformation from R³ to R³ given by orthogonal projection onto the xy-plane. (Then T is represented by the matrix 1 0 0 A = 0 1 0 1.) What is det A? 0 0 0 (b) Let N be the 2-dimensional square in R3 defined 1 0. by 0 and 1 | (which lies in the xy-plane). What is the area of N? 1 What is the area of T(N)? 0 (c) Now let B be the transformation of R3 defined by 1 0 0 0 2 0 0 0 3 (d) What is det B? 6
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer a, b, c
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