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Consider the statements: The rank of a matrix is the maximum number of linearly independent columns in the matrix. If the rank of an nxn matrix is n, then it is non-singular. i) ii)

Consider the statements: The rank of a matrix is the maximum number of linearly independent columns in the matrix. If the rank of an nxn matrix is n, then it is non-singular. i) ii)

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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Subject Test Consider the statements: The rank of a matrix is the maximum number of linearly independent columns in the matrix. i) i1) If the rank of an nxn matrix is n, then it is non-singular. a) Both (i) and (ii) are false. b) Both (i) and (ii) are true. c) (i) is true but (ii) is false d) (i) is false and (ii) is true. Answer OB
Transcribed Image Text:Subject Test Consider the statements: The rank of a matrix is the maximum number of linearly independent columns in the matrix. i) i1) If the rank of an nxn matrix is n, then it is non-singular. a) Both (i) and (ii) are false. b) Both (i) and (ii) are true. c) (i) is true but (ii) is false d) (i) is false and (ii) is true. Answer OB
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