Consider the matrix A = 3 -24 26 -48 39 1 5 1 1 4 8 1 The kernel (nullspace) of A is given by: (A) The vector (0,0,0,0) (B) The 3-dimensional space orthogonal to (-17,5, 1, 1) (C) The plane through the origin orthogonal to (-17,5, 1, 1) (D) The vector (-17,5, 1, 1) (E) The line through the origin of direction (-17, 5, 1, 1)

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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Consider the matrix
A =
3 -24
26 -48
39 1 5
1 1 4 8
1
The kernel (nullspace) of A is given by:
(A) The vector (0,0,0,0)
(B) The 3-dimensional space orthogonal to (-17,5, 1, 1)
(C) The plane through the origin orthogonal to (-17,5, 1, 1)
(D) The vector (-17,5, 1, 1)
(E) The line through the origin of direction (-17, 5, 1, 1)
Transcribed Image Text:Consider the matrix A = 3 -24 26 -48 39 1 5 1 1 4 8 1 The kernel (nullspace) of A is given by: (A) The vector (0,0,0,0) (B) The 3-dimensional space orthogonal to (-17,5, 1, 1) (C) The plane through the origin orthogonal to (-17,5, 1, 1) (D) The vector (-17,5, 1, 1) (E) The line through the origin of direction (-17, 5, 1, 1)
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