Let W be the set of all 3 x 3 matrices of the Го X 0 form y 0 X 0 0 I where y < 0. Then: Select one: OW is not closed under addition, and Wis closed under scalar multiplication, and W is not a subspace of M3x3- O W is closed under addition, and Wis closed under scalar multiplication, and W is a subspace of M3x3- O None of them O W is closed under addition, and W is not closed under scalar multiplication, and W is a subspace of M3x3- O W is closed under addition, and W is not closed under scalar multiplication, and W is not a subspace of M3x3.
Let W be the set of all 3 x 3 matrices of the Го X 0 form y 0 X 0 0 I where y < 0. Then: Select one: OW is not closed under addition, and Wis closed under scalar multiplication, and W is not a subspace of M3x3- O W is closed under addition, and Wis closed under scalar multiplication, and W is a subspace of M3x3- O None of them O W is closed under addition, and W is not closed under scalar multiplication, and W is a subspace of M3x3- O W is closed under addition, and W is not closed under scalar multiplication, and W is not a subspace of M3x3.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 23EQ
Related questions
Question
![Let W be the set of all 3 x 3 matrices of the
10 X 0
form
Y0
z
0 0
X
where y < 0. Then:
Select one:
O Wis not closed under addition, and Wis
closed under scalar multiplication, and
W is not a subspace of M3x3-
O W is closed under addition, and Wis
closed under scalar multiplication, and
W is a subspace of M3x3.
O
None of them
O W is closed under addition, and W is not
closed under scalar multiplication, and
W is a subspace of M3x3-
W is closed under addition, and W is not
closed under scalar multiplication, and
W is not a subspace of M3x3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe7c74e12-5dcf-4e68-9f83-18f1c50b2943%2Fa82bc3cc-0367-4ab4-86e3-5bf12a4bed8c%2Fseb1grp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let W be the set of all 3 x 3 matrices of the
10 X 0
form
Y0
z
0 0
X
where y < 0. Then:
Select one:
O Wis not closed under addition, and Wis
closed under scalar multiplication, and
W is not a subspace of M3x3-
O W is closed under addition, and Wis
closed under scalar multiplication, and
W is a subspace of M3x3.
O
None of them
O W is closed under addition, and W is not
closed under scalar multiplication, and
W is a subspace of M3x3-
W is closed under addition, and W is not
closed under scalar multiplication, and
W is not a subspace of M3x3.
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