A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A. A = 1 6 13 -3 -5 - 1 3 11 -29 30 3-1 6-4 6 3 9 15 -4 2 1 6 13 0 4 03 80-2 00 01 3 00 00 0
A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A. A = 1 6 13 -3 -5 - 1 3 11 -29 30 3-1 6-4 6 3 9 15 -4 2 1 6 13 0 4 03 80-2 00 01 3 00 00 0
A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A. A = 1 6 13 -3 -5 - 1 3 11 -29 30 3-1 6-4 6 3 9 15 -4 2 1 6 13 0 4 03 80-2 00 01 3 00 00 0
Transcribed Image Text:A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A.
A =
1 6 13 -3 5
3 -1
6
-4
4
6
- 1 3 11
- 29 30
3 9 15
Find a basis for Col A.
1 6 13 0 4
03
80
- 2
0 0 01 3
00 0 0 0
(Use a comma to separate answers as needed. Type an integer or simplified fraction for each matrix element.)
Find a basis for Nul A.
(Use a comma to separate answers as needed. Type an integer or simplified fraction for each matrix element.)
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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