Let A = {a, az, az} and D = (d, d2, dz} be bases for V, and let P = [d•]a [d2]a [d•]a | Which of the following equations is satisfied by P for all x in V? (1) [x]a = P[x]p (ii) [x]p = P[x]A Choose the correct answer below. O A. Equation (ii)is satisfied by P for all x in V. O B. Equation (i) is satisfied by P for all x in V. O C. Both equations are satisfied by P for all x in V. O D. Neither equation is satisfied by P for all x in V.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let A = {a1, a2, az} and D= {d,, d2, dz) be bases for V, and let P
= [d1]A [d2]A [d3]a Which of the following equations is satisfied by P for all x in V?
(1) [x]a = P[x]p
(i) [x]p = P[x]A
Choose the correct answer below.
O A. Equation (ii) is satisfied by P for all x in V.
O B. Equation (i) is satisfied by P for all x in V.
O C. Both equations are satisfied by P for all x in V.
O D. Neither equation is satisfied by P for all x in V.
Transcribed Image Text:Let A = {a1, a2, az} and D= {d,, d2, dz) be bases for V, and let P = [d1]A [d2]A [d3]a Which of the following equations is satisfied by P for all x in V? (1) [x]a = P[x]p (i) [x]p = P[x]A Choose the correct answer below. O A. Equation (ii) is satisfied by P for all x in V. O B. Equation (i) is satisfied by P for all x in V. O C. Both equations are satisfied by P for all x in V. O D. Neither equation is satisfied by P for all x in V.
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