Mathematics, 02.12.2019 23:20 jolleyrancher78

# Let b = {(1, 3), (β2, β2)} and b' = {(β12, 0), (β4, 4)} be bases for r2, and let a = 0 2 3 4 be the matrix for t: r2 β r2 relative to b.

(a) find the transition matrix p from b' to b. p =

(b) use the matrices p and a to find [v]b and [t(v)]b, where [v]b' = [β2 4]t. [v]b = [t(v)]b =

(c) find pβ1 and a' (the matrix for t relative to b'). pβ1 = a' = (

(d) find [t(v)]b' two ways. [t(v)]b' = pβ1[t(v)]b = [t(v)]b' = a'[v]b' =

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Let b = {(1, 3), (β2, β2)} and b' = {(β12, 0), (β4, 4)} be bases for r2, and let a = 0 2 3 4 be the...

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