129 is provided In Exercises 7-11, use the technique of Example2, described in the box on page 129, to find abasis for the subspace spanned by the givenvectors.7. sp([-3, 1], [6, 4]) in R²9. sp([2, 1], [−6, −3], [1, 4]) in R² Finding a Basis for W = sp(w₁, W2, ..., Wk)1. Form the matrix A whose jth column vector is w,.2. Row-reduce A to row-echelon form H.3. The set of all w; such that the jth column of H contains a pivot is abasis for W.

(.) Given subspace spanned by the given vectors are,7. in..9. in .(.) Basis: Let be a vector…

In Exercises 7-11, use the technique of Example 2, described in the box on page 129, to find a basis for the subspace spanned by the given vectors. 7. sp([−3, 1], [6, 4]) in R² 9. sp([2, 1], [−6, −3], [1, 4]) in R²

In Exercises 7-11, use the technique of Example 2, described in the box on page 129, to find a basis for the subspace spanned by the given vectors. 7. sp([−3, 1], [6, 4]) in R² 9. sp([2, 1], [−6, −3], [1, 4]) in R²

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 29E

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Question

129 is provided

In Exercises 7-11, use the technique of Example
2, described in the box on page 129, to find a
basis for the subspace spanned by the given
vectors.
7. sp([-3, 1], [6, 4]) in R²
9. sp([2, 1], [−6, −3], [1, 4]) in R²

Finding a Basis for W = sp(w₁, W2, ..., Wk)
1. Form the matrix A whose jth column vector is w,.
2. Row-reduce A to row-echelon form H.
3. The set of all w; such that the jth column of H contains a pivot is a
basis for W.

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