A matrix in row echelon form is given. By inspection, find bases for the row and column spaces of the matrix A. [10 4 A = 0 0 1 0 0 0o] O The vectors [1 0 4] and [0 0 1] form a basis for the row space of A and the vectors and 1 form a basis for the column space of A. O The vectors [1 0 4] and [0 1 0] form a basis for the row space of A and 0. the vectors 0 and 0 form a basis for the column space of A. O The vectors [1 0 o]. [o o o] and [4 1 0] form a basis for the row space of A and the vectors 0 and 0 form a basis for the column space of A. O The vectors 10 0 and 4 1 0 form a basis for the row space of A and the vectors 0 and form a basis for the column space of A. O The vectors [1 0 4] and [0 0 1] form a basis for the row space of A and the vectors 0 and form a basis for the column space of A.

A matrix in row echelon form is given. By inspection, find bases for the row and column spaces of the matrix A. [10 4 A = 0 0 1 0 0 0o] O The vectors [1 0 4] and [0 0 1] form a basis for the row space of A and the vectors and 1 form a basis for the column space of A. O The vectors [1 0 4] and [0 1 0] form a basis for the row space of A and 0. the vectors 0 and 0 form a basis for the column space of A. O The vectors [1 0 o]. [o o o] and [4 1 0] form a basis for the row space of A and the vectors 0 and 0 form a basis for the column space of A. O The vectors 10 0 and 4 1 0 form a basis for the row space of A and the vectors 0 and form a basis for the column space of A. O The vectors [1 0 4] and [0 0 1] form a basis for the row space of A and the vectors 0 and form a basis for the column space of A.

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 7AEXP

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