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Let A be an m x n matrix . Recall that m is the number of rows and n is the number of columns in A. Mark the following sentences as True or False. (Enter T for true and F for False.) F x If n >m and | Null(A) has dimension n – m, then Col(A) = R". %3D F x If the dimension of Null(A) is >0, then the dimension of LNull(A) is > 0. The number of linearly independent rows of A is the same as the number of linearly indep If Ax = 0 has unique solution then Col(A) = R™.

Let A be an m x n matrix . Recall that m is the number of rows and n is the number of columns in A. Mark the following sentences as True or False. (Enter T for true and F for False.) F x If n >m and | Null(A) has dimension n – m, then Col(A) = R". %3D F x If the dimension of Null(A) is >0, then the dimension of LNull(A) is > 0. The number of linearly independent rows of A is the same as the number of linearly indep If Ax = 0 has unique solution then Col(A) = R™.

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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the last statement is TRUE or FALSE? please give me an answer with an explanation.

Let A be an m x n matrix . Recall that m is the number of rows and n is the number of columns in A. Mark the following sentences as True or False. (Enter T for true and F for False.) F x If n > m and Null(A) has dimension n – m, then Col(A) = R". F If the dimension of Null(A) is >0, then the dimension of LNull(A) is > 0. The number of linearly independent rows of A is the same as the number of linearly independent columns of A. T x If Ax = 0 has unique solution then Col(A) = R".
Transcribed Image Text:Let A be an m x n matrix . Recall that m is the number of rows and n is the number of columns in A. Mark the following sentences as True or False. (Enter T for true and F for False.) F x If n > m and Null(A) has dimension n – m, then Col(A) = R". F If the dimension of Null(A) is >0, then the dimension of LNull(A) is > 0. The number of linearly independent rows of A is the same as the number of linearly independent columns of A. T x If Ax = 0 has unique solution then Col(A) = R".
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