(a) Determine if the transformation defined by each of the following standard matrices is injective and/or surjective. i. 1 15 4 1 3 1 5 1 2 0 1 1 -3 5 2 1 ii. 1200 -2 -3 5 3 -4 -4 4 4 iii. 1 0 -3 -1 6 0 1 -4 -2 12 4 1 5 15 -27 0 0 -5 -5 15 iv. -5 -10 5 20 -3 -6 4 15 2 4 -2 -8 -5 -10 2 11 (b) Which of the above transformations was bijective?

(a) Determine if the transformation defined by each of the following standard matrices is injective and/or surjective. i. 1 15 4 1 3 1 5 1 2 0 1 1 -3 5 2 1 ii. 1200 -2 -3 5 3 -4 -4 4 4 iii. 1 0 -3 -1 6 0 1 -4 -2 12 4 1 5 15 -27 0 0 -5 -5 15 iv. -5 -10 5 20 -3 -6 4 15 2 4 -2 -8 -5 -10 2 11 (b) Which of the above transformations was bijective?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.6: Introduction To Linear Transformations

Problem 2EQ: Let TA: 23 be the matrix transformation corresponding to A=[311124]. Find TA(u) and TA(v), where...

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