1. A matrix A and its reduced echelon form are given below. [1 0 5/2 -9/2 7/2] 0 1 3/2 -5/2 3/2 0 0 0 0 0 3 -5 0 -1 3 -7 9 -4 9 -11 -5 7 -2 5 3 -7 -3 4 -7 (a) Give integers p and q so that Col(A) is a subspace of RP and Nul(A) is a subspace of R". (b) Give a basis for the column space of A. (c) Give a basis for the null space of A. CONTINUED 1 2. Explain why each set is not a basis for R. (a) (b) (c) (d)
1. A matrix A and its reduced echelon form are given below. [1 0 5/2 -9/2 7/2] 0 1 3/2 -5/2 3/2 0 0 0 0 0 3 -5 0 -1 3 -7 9 -4 9 -11 -5 7 -2 5 3 -7 -3 4 -7 (a) Give integers p and q so that Col(A) is a subspace of RP and Nul(A) is a subspace of R". (b) Give a basis for the column space of A. (c) Give a basis for the null space of A. CONTINUED 1 2. Explain why each set is not a basis for R. (a) (b) (c) (d)
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Please answer all questions this is my last ask
![1. A matrix A and its reduced echelon form are given below.
[1 0 5/2 -9/2 7/2]
0 1 3/2 -5/2 3/2
0 0
0 0 0
3 -5 0 -1
-7 9
3
-4 9
-11
-5 7
-2 5
-7
3 -7 -3 4
(a) Give integers p and q so that Col(A) is a subspace of R" and Nul(A) is a subspace
of R".
(b) Give a basis for the column space of A.
(c) Give a basis for the null space of A.
CONTINUED
1
2. Explain why each set is not a basis for R.
(a)
(b)
(c)
(d)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ce811fb-edf4-4b7d-a78b-ce142b62308a%2F680be040-592a-475a-bc40-c2e42862efe7%2Focat3bq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. A matrix A and its reduced echelon form are given below.
[1 0 5/2 -9/2 7/2]
0 1 3/2 -5/2 3/2
0 0
0 0 0
3 -5 0 -1
-7 9
3
-4 9
-11
-5 7
-2 5
-7
3 -7 -3 4
(a) Give integers p and q so that Col(A) is a subspace of R" and Nul(A) is a subspace
of R".
(b) Give a basis for the column space of A.
(c) Give a basis for the null space of A.
CONTINUED
1
2. Explain why each set is not a basis for R.
(a)
(b)
(c)
(d)
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