Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

Jj.33.

 

Consider the ordered bases B = ((-3,-2), (-1,-1)) and C = ((1, –4), (4, -2)) for the −1)) vector space R². a. Find the transition matrix from C to the standard ordered basis E = ((1,0), (0, 1)). TE = b. Find the transition matrix from B to E. TE= c. Find the transition matrix from E to B. TB d. Find the transition matrix from C to B. TB = e. Find the coordinates of u = (3,-2) in the ordered basis B. Note that [u] B = T[u]E. [u]B f. Find the coordinates of u in the ordered basis B if the coordinate vector of vin C is [v]c = (-1,2). [v]B =
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Transcribed Image Text:Consider the ordered bases B = ((-3,-2), (-1,-1)) and C = ((1, –4), (4, -2)) for the −1)) vector space R². a. Find the transition matrix from C to the standard ordered basis E = ((1,0), (0, 1)). TE = b. Find the transition matrix from B to E. TE= c. Find the transition matrix from E to B. TB d. Find the transition matrix from C to B. TB = e. Find the coordinates of u = (3,-2) in the ordered basis B. Note that [u] B = T[u]E. [u]B f. Find the coordinates of u in the ordered basis B if the coordinate vector of vin C is [v]c = (-1,2). [v]B =
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Step 1: Defined Transition matrix
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Step 2: Finding Transition matrix from C to E
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Step 3: Finding Transition matrix from B to E
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Step 4: Finding transition matrix from E to B
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