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c. If a matrix has more columns than rows, then the dimension of the column space is bigger than the dimension of the null space. d. Let A = [a;;], 20 × 30 be full rank. Then the columns of A are a basis of the range of A.

c. If a matrix has more columns than rows, then the dimension of the column space is bigger than the dimension of the null space. d. Let A = [a;;], 20 × 30 be full rank. Then the columns of A are a basis of the range of A.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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c. If a matrix has more columns than rows, then the dimension of the column space is bigger than the dimension of the null space. d. Let A = [a;;], 20 × 30 be full rank. Then the columns of A are a basis of the range of A.
Transcribed Image Text:c. If a matrix has more columns than rows, then the dimension of the column space is bigger than the dimension of the null space. d. Let A = [a;;], 20 × 30 be full rank. Then the columns of A are a basis of the range of A.
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