Question

Find the coordinate vector [x]B of x relative to the given basis B = {b1, b2, b3}. b1 = [1, -1, -3], b2 = [3, -2, -9], b3 = [1, -1, 2], x = [-1, 0, 18] [x]B = [-1, -1, 3] (Simplify your answers.)

          Find the coordinate vector [x]B of x relative to the given basis B = {b1, b2, b3}.
b1 = [1, -1, -3], b2 = [3, -2, -9], b3 = [1, -1, 2], x = [-1, 0, 18]
[x]B = [-1, -1, 3]
(Simplify your answers.)

Added by John Y.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

08/28/2023

Step 1

In other words, we need to find scalars c1, c2, and c3 such that: x = c1 * b1 + c2 * b2 + c3 * b3 Now, let's assume that the basis vectors b1, b2, and b3 are given as: b1 = \begin{bmatrix} a_1 \\ a_2 \\ a_3 \end{bmatrix}, b2 = \begin{bmatrix} b_1 \\ b_2 \\ b_3 Show more…

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