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Let M be a (3x3) matrix such that the dimension of its row space is 1. Which of the following is true? Select all possible answers. | dim(columnspace(M)) = 1. Mis invertible. rank of Mequals to 1. Mis not invertible.

Let M be a (3x3) matrix such that the dimension of its row space is 1. Which of the following is true? Select all possible answers. | dim(columnspace(M)) = 1. Mis invertible. rank of Mequals to 1. Mis not invertible.

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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Let M be a (3x3) matrix such that the dimension of its row space is 1. Which of the following is true? Select all possible answers. dim(columnspace(M)) = 1. Mis invertible. rank of Mequals to 1. Mis not invertible. Submit You have used 0 of 1 attempt Save Problem 7 Let A be a (9x9) matrix such that the dimension of its column space is 9. Then Select all possible answers. |dim (rowspace (A)) = 9 The determinant of Ais a non-zero number. Ais invertible. DA- does not exist. Submit You have used 0 of 1 attempt Save Problem 8 Let Abe a 5 x 5matrix with rank 5. Suppose there are two 5 × 5matrices Land U LUThen which of the following is true? such that A Select all possible answers. |rank(A)= rank(L) |rank(A)= rank(U). | Both U and Lare invertible. column space(A)= column space(L) L+ Umust be invertible. Submit You have used 0 of 1 attempt Save
Transcribed Image Text:Let M be a (3x3) matrix such that the dimension of its row space is 1. Which of the following is true? Select all possible answers. dim(columnspace(M)) = 1. Mis invertible. rank of Mequals to 1. Mis not invertible. Submit You have used 0 of 1 attempt Save Problem 7 Let A be a (9x9) matrix such that the dimension of its column space is 9. Then Select all possible answers. |dim (rowspace (A)) = 9 The determinant of Ais a non-zero number. Ais invertible. DA- does not exist. Submit You have used 0 of 1 attempt Save Problem 8 Let Abe a 5 x 5matrix with rank 5. Suppose there are two 5 × 5matrices Land U LUThen which of the following is true? such that A Select all possible answers. |rank(A)= rank(L) |rank(A)= rank(U). | Both U and Lare invertible. column space(A)= column space(L) L+ Umust be invertible. Submit You have used 0 of 1 attempt Save
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