Question

Find the specified change-of-coordinates matrix. Let B = {[a + 2b + 2d; c + d; -3a - 6b + 4c - 2d; -c - d] : a, b, c, d in R} and C = {c1, c2} be bases for R^2, where b1 = [2; 4], b2 = [1; 3], c1 = [1; 3], c2 = [-4; -10]. Find the change-of-coordinates matrix from B to C.

          Find the specified change-of-coordinates matrix.
Let B = {[a + 2b + 2d; c + d; -3a - 6b + 4c - 2d; -c - d] : a, b, c, d in R} and C = {c1, c2} be bases for R^2, where
b1 = [2; 4], b2 = [1; 3], c1 = [1; 3], c2 = [-4; -10].
Find the change-of-coordinates matrix from B to C.

Find the specified change-of-coordinates matrix.
Let B = [a + 2b + 2d; c + d; -3a - 6b + 4c - 2d; -c - d] : a, b, c, d in R and C = c1, c2 be bases for R^2, where
b1 = [2; 4], b2 = [1; 3], c1 = [1; 3], c2 = [-4; -10].
Find the change-of-coordinates matrix from B to C.

Added by Todd M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Hoan Nguyen

Step 1

We have: b1 = [4] b2 = ['] c1 = [8] c2 = [~i] We need to find scalars x1, x2, y1, and y2 such that: b1 = x1 * c1 + x2 * c2 b2 = y1 * c1 + y2 * c2 Let's solve for x1, x2, y1, and y2: Show more…

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Find the specified change-of-coordinates matrix Let B = {b1, b2} and C = {c1, c2} be bases for R^2, where b1 = [2, 4], b2 = [1, 3], c1 = [1, 3], c2 = [-4, -10]. Find the change-of-coordinates matrix from B to C.