2 - 1 - 3 - 9 - 8 Let P = -3 -4 V1 = V2 = 4 and v3 = 2 . Complete parts (a) and (b). 1 2 5 a. Find a basis fu1, u2, u3} for R° such that P is the change-of-coordinates matrix from fu1, u2, uz) to the...


2<br>- 1<br>- 3<br>- 9<br>- 8<br>Let P =<br>-3 -4<br>V1 =<br>V2 =<br>4<br>and v3 =<br>2 . Complete parts (a) and (b).<br>1<br>2<br>5<br>a. Find a basis fu1, u2, u3} for R° such that P is the change-of-coordinates matrix from fu1, u2, uz) to the basis (v1, V2, V3). [Hint: What do the<br>columns of P represent?]<br>C+B<br>u, =<br>u2 =, uz =<br>b. Find a basis (w1. W2, W3} for R° such that P is the change-of-coordinates matrix from (v1. V2, V3) to {w1. W2, W3}.<br>W1<br>w2 =U, w3<br>LO<br>

Extracted text: 2 - 1 - 3 - 9 - 8 Let P = -3 -4 V1 = V2 = 4 and v3 = 2 . Complete parts (a) and (b). 1 2 5 a. Find a basis fu1, u2, u3} for R° such that P is the change-of-coordinates matrix from fu1, u2, uz) to the basis (v1, V2, V3). [Hint: What do the columns of P represent?] C+B u, = u2 =, uz = b. Find a basis (w1. W2, W3} for R° such that P is the change-of-coordinates matrix from (v1. V2, V3) to {w1. W2, W3}. W1 w2 =U, w3 LO

Jun 04, 2022
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