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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 32E

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