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Q1. Decide which of the following functions are linear transformation? (i). T : R² → R² defined as, T(x, y) = (y, x+1). (ii). T : M22 → R defined as, T(A) = a + b+c+ d. Thope for a clear solution (iii). T : R² → R³ defined as, T(x, y) = (x + y, x +1,3y).

Q1. Decide which of the following functions are linear transformation? (i). T : R² → R² defined as, T(x, y) = (y, x+1). (ii). T : M22 → R defined as, T(A) = a + b+c+ d. Thope for a clear solution (iii). T : R² → R³ defined as, T(x, y) = (x + y, x +1,3y).

Advanced Engineering Mathematics
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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Q1. Decide which of the following functions are linear transformation? (i). T : R² → R² defined as, T(x, y) = (y, x + 1). (ii). T : M22 → R defined as, T(A) = a + b+c+ d. Thope for a clear solution (iii). T : R² → R³ defined as, T(x, y) = (x + y, x + 1, 3y). (iv). T : R² → R³ defined as, T(x, y) = (/x, xy, V9). (v). T : M22 → M22 defined as, T(A) = A¬!.
Transcribed Image Text:Q1. Decide which of the following functions are linear transformation? (i). T : R² → R² defined as, T(x, y) = (y, x + 1). (ii). T : M22 → R defined as, T(A) = a + b+c+ d. Thope for a clear solution (iii). T : R² → R³ defined as, T(x, y) = (x + y, x + 1, 3y). (iv). T : R² → R³ defined as, T(x, y) = (/x, xy, V9). (v). T : M22 → M22 defined as, T(A) = A¬!.
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