We have the given matrix M such that M = [4 5 p 5 4 q 0 5 r] We know that the two vectors (4, 5, 0) and (5, 4, 5) span a plane in R^3 such that the two vectors are linearly independent of each other. What should the conditions in the third vector be if we want the three vectors to span R^3?
We have the given matrix M such that M = [4 5 p 5 4 q 0 5 r] We know that the two vectors (4, 5, 0) and (5, 4, 5) span a plane in R^3 such that the two vectors are linearly independent of each other. What should the conditions in the third vector be if we want the three vectors to span R^3?
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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We have the given matrix M such that
M = [4 5 p
5 4 q
0 5 r]
We know that the two
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