Question 1) The dimension of the subspace of P3 consisting of all vectors of the form at³ +bt² + ct + d, where b = 3a – 5d and c d + 4a is Answer here: = 2) The dimension of the subspace of P3 consisting of all vectors of the form at³+bt² + ct+d, where b = 5a + 3d and c = a - 2d is Answer here: - 3) The dimension of the subspace of P3 consisting of all vectors of the form at³ +bt² + ct + d, where b = 5a - 3d and c - = 3a 2d is Answer here: -

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 65E: Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector...
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1) The dimension of the subspace of P3
consisting of all vectors of the form
at³ +bt² + ct+d, where b = 3a - 5d
and c
d+ 4a is Answer here:
-
2) The dimension of the subspace of P3
consisting of all vectors of the form
at³+bt² + ct+d, where b = 5a + 3d
and c = a 2d is Answer here:
3) The dimension of the subspace of P3
consisting of all vectors of the form
at³+bt2 + ct+d, where b = 5a - 3d
and c = 3a 2d is Answer here:
-
Transcribed Image Text:Question 1) The dimension of the subspace of P3 consisting of all vectors of the form at³ +bt² + ct+d, where b = 3a - 5d and c d+ 4a is Answer here: - 2) The dimension of the subspace of P3 consisting of all vectors of the form at³+bt² + ct+d, where b = 5a + 3d and c = a 2d is Answer here: 3) The dimension of the subspace of P3 consisting of all vectors of the form at³+bt2 + ct+d, where b = 5a - 3d and c = 3a 2d is Answer here: -
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