Let T : R4 →R2 be a linear transformation, and let A be the standard matrix of T . Assume that no two columns of A are parallel. a. How many rows and how many columns must A have? b. Is T 1-1? Explain. c. Is T onto? Explain.
Let T : R4 →R2 be a linear transformation, and let A be the standard matrix of T . Assume that no two columns of A are parallel. a. How many rows and how many columns must A have? b. Is T 1-1? Explain. c. Is T onto? Explain.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 44E: Let T:P2P4 be the linear transformation T(p)=x2p. Find the matrix for T relative to the bases...
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Let T : R4 →R2 be a linear transformation, and let A be the standard matrix of T . Assume that no two columns of A are parallel.
a. How many rows and how many columns must A have?
b. Is T 1-1? Explain.
c. Is T onto? Explain.
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