let b 1 32 4 35 5 44 and x 65 3 find xb give your ans 88257

Name: let b 1 32 4 35 5 44 and x 65 3 find xb give your ans 88257
Uploaded: 2022-11-10T18:49:40-08:00
Duration: 2 min 47 s
Channel: Sri K
Description: let b 1 32 4 35 5 44 and x 65 3 find xb give your ans 88257

To find the coordinates of the vector ( x = (-6, 5, -3) ) in the basis ( B = { (1, -3, 2), (

Question

Let B={ (1,-3,2), (4,-3,5), (5,-4,4)}, and x=(-6,5,-3) Find [x]B Give your ans

          Let B={ (1,-3,2), (4,-3,5), (5,-4,4)},   and x=(-6,5,-3)
Find [x]B
Give your ans

Added by Alejandro J.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Sri K

11/10/2022

Step 1

This means we want to find scalars \( a, b, c \) such that: \[ x = a(1, -3, 2) + b(4, -3, 5) + c(5, -4, 4) \] This can be rewritten as: \[ (-6, 5, -3) = (a + 4b + 5c, -3a - 3b - 4c, 2a + 5b + 4c) \] This gives us a system of equations: 1. \( a + 4b + 5c = -6 Show more…

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