Suppose T:R³ R³ is the transformation given below. Determine whether Ti one-to-one and/or onto. If it is not one-to-one, show this by providing two vectors that have the same image under T. If I is not onto, show this by providing a vector in R³ that is not in the range of T. 10x1-10x2 =x0x14x2 -2x1+2x2 xo Tx1 x2 T is not one-to-one: 0 0 0 ΤΟ = 0 and To 0 0 0 T is not onto: 0 = 0 0 0 0 is not the image of any x under T. 0
Suppose T:R³ R³ is the transformation given below. Determine whether Ti one-to-one and/or onto. If it is not one-to-one, show this by providing two vectors that have the same image under T. If I is not onto, show this by providing a vector in R³ that is not in the range of T. 10x1-10x2 =x0x14x2 -2x1+2x2 xo Tx1 x2 T is not one-to-one: 0 0 0 ΤΟ = 0 and To 0 0 0 T is not onto: 0 = 0 0 0 0 is not the image of any x under T. 0
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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