Let V = R²×2 be the vector space of 2 × 2 matrices and let L : V → V be defined by L(X) = = image of a spanning set is a spanning set for the image. a. Find L( 1 -5 2 b. Find a basis for ker(L): 188 188 c. Find a basis for ran(L): -15 20 -3 4 X. Hint: The
Let V = R²×2 be the vector space of 2 × 2 matrices and let L : V → V be defined by L(X) = = image of a spanning set is a spanning set for the image. a. Find L( 1 -5 2 b. Find a basis for ker(L): 188 188 c. Find a basis for ran(L): -15 20 -3 4 X. Hint: The
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 41E
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