< 23-1 Let P-4-5 5 6 2 Complete parts (a) and (b). 5 COMO a. Find a basis (U₁. ₂. uz) for R' such that P is the change-of-coordinates matrix from (u,. u. u) to the basis (v₁.v.) int What do the columne of P represent?] b. Find a basis (w,. w. w.) for R' such that P is the change-of-coordinates matrix from (v₁. ₂. 3) to (w₁, W₂, W₂).
< 23-1 Let P-4-5 5 6 2 Complete parts (a) and (b). 5 COMO a. Find a basis (U₁. ₂. uz) for R' such that P is the change-of-coordinates matrix from (u,. u. u) to the basis (v₁.v.) int What do the columne of P represent?] b. Find a basis (w,. w. w.) for R' such that P is the change-of-coordinates matrix from (v₁. ₂. 3) to (w₁, W₂, W₂).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 12E
Related questions
Question
![←
2 3-1
Let P-4
5
-2
5
V₂
6
2
and v
2 Complete parts (a) and (b)
5
a. Find a basis (u. U. ₂) for R such that P is the change-of-coordinates matrix from (u,. u₂. ua) to the basis (v₁.v.v) int: What do the columns
of P represent?]
4,-0.4-0.45-0
b. Find a basis (w₁, W₂. wa) for R³ such that P is the change-of-coordinates matrix from (v₁.₂. Va) to (w₁. W₂, W₂)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5e4a07c-30b4-489a-a027-e9cc7102bc04%2Fbc2c8840-9ccb-4613-b82c-eb69be37fc05%2Fy4wuj78_processed.jpeg&w=3840&q=75)
Transcribed Image Text:←
2 3-1
Let P-4
5
-2
5
V₂
6
2
and v
2 Complete parts (a) and (b)
5
a. Find a basis (u. U. ₂) for R such that P is the change-of-coordinates matrix from (u,. u₂. ua) to the basis (v₁.v.v) int: What do the columns
of P represent?]
4,-0.4-0.45-0
b. Find a basis (w₁, W₂. wa) for R³ such that P is the change-of-coordinates matrix from (v₁.₂. Va) to (w₁. W₂, W₂)
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