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5. Which of the following 4 statements are always true ? (i) (ii) (iii) (iv) Let A and B be arbitrary n x n matrices. Then (A + B)² = A² + 2AB + B² The inverse of an elementary matrix E is E. If ad-bc #0, then there is exactly 1 solution to the system: = 1 Sax 1x + by CX + dy = 0 If X and Y are m × 1 matrices, then XTY = YTX a) (i) and (ii) only d) none are true e) (iii) and (iv) only b) (i) and (iv) only f) all are true c) (i) and (iii) only

5. Which of the following 4 statements are always true ? (i) (ii) (iii) (iv) Let A and B be arbitrary n x n matrices. Then (A + B)² = A² + 2AB + B² The inverse of an elementary matrix E is E. If ad-bc #0, then there is exactly 1 solution to the system: = 1 Sax 1x + by CX + dy = 0 If X and Y are m × 1 matrices, then XTY = YTX a) (i) and (ii) only d) none are true e) (iii) and (iv) only b) (i) and (iv) only f) all are true c) (i) and (iii) only

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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5. Which of the following 4 statements are always true ? (i) (ii) (iii) (iv) Let A and B be arbitrary n x n matrices. Then (A + B)² = A² + 2AB + B² The inverse of an elementary matrix E is E. If ad-bc #0, then there is exactly 1 solution to the system: = 1 fax + by [cx + dy CX = 0 If X and Y are m × 1 matrices, then XTY = YTX a) (i) and (ii) only d) none are true e) (iii) and (iv) only b) (i) and (iv) only f) all are true c) (i) and (iii) only
Transcribed Image Text:5. Which of the following 4 statements are always true ? (i) (ii) (iii) (iv) Let A and B be arbitrary n x n matrices. Then (A + B)² = A² + 2AB + B² The inverse of an elementary matrix E is E. If ad-bc #0, then there is exactly 1 solution to the system: = 1 fax + by [cx + dy CX = 0 If X and Y are m × 1 matrices, then XTY = YTX a) (i) and (ii) only d) none are true e) (iii) and (iv) only b) (i) and (iv) only f) all are true c) (i) and (iii) only
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