Question

Find the coordinate vector [x]B of x relative to the given basis B = {b1, b2, b3}. b1 = [ 1, -1, -3 ], b2 = [ -3, 4, 9 ], b3 = [ 1, -1, 4 ], x = [ 4, -5, 2 ] [x]B = [ , , ] (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, 4, 9 ], b3 = [ 1, -1, 4 ], x = [ 4, -5, 2 ]
[x]B = [ , , ]
(Simplify your answers.)

Added by Michael C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Aparna Shakti

Step 1

We want to find the coordinate vector [x]_B relative to the basis B. We can write x as a linear combination of the basis vectors b1, b2, and b3: x = c1 * b1 + c2 * b2 + c3 * b3 Given the information in the problem, we have: x = $\begin{bmatrix} -5 \\ 2 \\ -3 Show more…

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