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Given an m x n matrix A. Matrix B is obtained by adding a multipl from another row of A. The determinant of B will A. Be the same as the determinant A B. Make the determinant of B-0 C. Make the determinant of B negative D. Make the determinant of B equal to the negative of the determinant of A. E. None of the above 3. If the determinant of a matrix A is zero, then A. A is singular B. A is invertible

Given an m x n matrix A. Matrix B is obtained by adding a multipl from another row of A. The determinant of B will A. Be the same as the determinant A B. Make the determinant of B-0 C. Make the determinant of B negative D. Make the determinant of B equal to the negative of the determinant of A. E. None of the above 3. If the determinant of a matrix A is zero, then A. A is singular B. A is 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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Please answer question 7, 8 and 12. Answer only.
7. Given an m x n matrix A. Matrix B is obtained by adding a multiple of one row from another row of A. The determinant of B will A. Be the same as the determinant A B. Make the determinant of B=0 C. Make the determinant of B negative D. Make the determinant of B equal to the negative of the determinant of A. E. None of the above 8. If the determinant of a matrix A is zero, then A. A is singular B. A is invertible C. A has a row of zero D. A has a column of zero E. None of the above
Transcribed Image Text:7. Given an m x n matrix A. Matrix B is obtained by adding a multiple of one row from another row of A. The determinant of B will A. Be the same as the determinant A B. Make the determinant of B=0 C. Make the determinant of B negative D. Make the determinant of B equal to the negative of the determinant of A. E. None of the above 8. If the determinant of a matrix A is zero, then A. A is singular B. A is invertible C. A has a row of zero D. A has a column of zero E. None of the above
12. Го What is the inverse of 0 1 [100] A. 0 1 0 lo o 1 0 1 10 -1 0 0 C. 0 0 1] 1 0 0 0 ro o B. 0 1 0 10 ol 1 0 1 -1 D. G 1 0 희 0
Transcribed Image Text:12. Го What is the inverse of 0 1 [100] A. 0 1 0 lo o 1 0 1 10 -1 0 0 C. 0 0 1] 1 0 0 0 ro o B. 0 1 0 10 ol 1 0 1 -1 D. G 1 0 희 0
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