Question

Find the coordinate vector [x]_B of the vector x relative to the given basis B. b_1 = [3; 1], b_2 = [3; -4], x = [-6; 18], and B = {b_1, b_2} A. [x]_B = [36; -78] B. [x]_B = [-6; 18] C. [x]_B = [2; -4] D. [x]_B = [2; -3]

          Find the coordinate vector [x]_B of the vector x relative to the given basis B.
b_1 = [3; 1], b_2 = [3; -4], x = [-6; 18], and B = {b_1, b_2}
A. [x]_B = [36; -78]
B. [x]_B = [-6; 18]
C. [x]_B = [2; -4]
D. [x]_B = [2; -3]

Added by Michael W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zhumagali Shomanov

09/07/2023

Step 1

We need to find the coordinates of the vector relative to the basis B. This means we need to express the vector as a linear combination of the basis vectors. Show more…

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