1. Let A be a 5 x 4 matrix with three pivot columns. (a) Circle the right answer: a subspace of R³, R', Col A is a subspace of R³, R3. (b) The dimension of Row A is (c) Circle the right answer: a line in R', Nul A is a plane in R5, a plane in R4, R?.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please answer the question on the screenshot. Please give full reasoning for the solution. 

1.
Let A be a 5 × 4 matrix with three pivot columns.
(a) Circle the right answer:
a subspace of R³,
Col A is
a subspace of R³,
R',
R3
(b) The dimension of Row A is
(c) Circle the right answer:
Nul A is
a line in R
a plane in R®,
a plane in R4,
R?.
Transcribed Image Text:1. Let A be a 5 × 4 matrix with three pivot columns. (a) Circle the right answer: a subspace of R³, Col A is a subspace of R³, R', R3 (b) The dimension of Row A is (c) Circle the right answer: Nul A is a line in R a plane in R®, a plane in R4, R?.
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