Find T(v) by using (a) the standard matrix and (b) the matrix relative to B and B′.T: R3→R3, T(x, y, z) = (x + y + z, 2z − x, 2y − z), v = (4, −5, 10), B = {(2, 0, 1), (0, 2, 1), (1, 2, 1)}, B′ = {(1, 1, 1), (1, 1, 0), (0, 1, 1)}

We know that ℝ3 is the vector space of three tuple of the form a, b, c, where a, b and c belong to…

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Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter10: Matrices

Section10.3: Multiplication Of Matrices

Problem 13E: To find the product matrix AB. the number of _______________ of A must be the same as the number of...

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Find T(v) by using (a) the standard matrix and (b) the matrix relative to B and B′.
T: R³→R³, T(x, y, z) = (x + y + z, 2z − x, 2y − z),
v = (4, −5, 10), B = {(2, 0, 1), (0, 2, 1), (1, 2, 1)},
B′ = {(1, 1, 1), (1, 1, 0), (0, 1, 1)}

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