(a) Compute the standard matrix for the linear transformation S: R4 → R³ given by S x = 3x+2y-3z+5w -3x+6y-4z - 6 w -5x-4y 4 w พ (b) Let T R³ → R³ be the linear transformation given by the standard matrix 5 -1 -5 0 3 1 -5 -4 1 4 -2 ]) Compute T •((÷)) 0 by using the values of transformed standard basic vectors.
(a) Compute the standard matrix for the linear transformation S: R4 → R³ given by S x = 3x+2y-3z+5w -3x+6y-4z - 6 w -5x-4y 4 w พ (b) Let T R³ → R³ be the linear transformation given by the standard matrix 5 -1 -5 0 3 1 -5 -4 1 4 -2 ]) Compute T •((÷)) 0 by using the values of transformed standard basic vectors.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 3EQ: In Exercises 1-12, determine whether T is a linear transformation. T:MnnMnn defines by T(A)=AB,...
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