4). Let T: R4 → Rª be a linear transformation defined by T(x, y, z, w) = (x+z+w, -3x+3y+tz+w, -x+3y+9z+3w, –5x+3y+5z – w), i). Find the standard matrix A of the transformation T. ii). Find the basis for the row space of T consisting entirely of row vectors of T. iii). Find the basis for the column space of T consisting entirely of column vectors of Т.

4). Let T: R4 → Rª be a linear transformation defined by T(x, y, z, w) = (x+z+w, -3x+3y+tz+w, -x+3y+9z+3w, –5x+3y+5z – w), i). Find the standard matrix A of the transformation T. ii). Find the basis for the row space of T consisting entirely of row vectors of T. iii). Find the basis for the column space of T consisting entirely of column vectors of Т.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.6: The Matrix Of A Linear Transformation

Problem 22EQ

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