a) Find all values of a so that polynomials f = 4t-a and g = 5t-6 are linearly dependentin P₁. Justify in details.b) Determine whether the set of all vectorsJustify in details.where z = y - 3x, is a subspace of R³.

We can find the value of 'a' for which the given polynomial is linear dependent.

Answered: a) Find all values of a so that…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.3: Subspaces Of Vector Spaces

Problem 56E: Give an example showing that the union of two subspaces of a vector space V is not necessarily a...

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a) Find all values of a so that polynomials f = 4t-a and g = 5t-6 are linearly dependent in P₁. Justify in details. ) Determine whether the set of all vectors y E] Justify in details. where z = y - 3x, is a subspace of R³.