In Exercises 25-28, determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify each answer. 27. The transformation in Exercise 19 In Exercises 17-20, show that T is a linear transformation by finding a matrix that implements the mapping. Note that x 1, x 2 ,... are not vectors but are entries in vectors. 19. T ( x 1 , x 2 , x 3 ) = ( x 1 − 5 x 2 + 4 x 3 , x 2 – 6 x 3)
In Exercises 25-28, determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify each answer. 27. The transformation in Exercise 19 In Exercises 17-20, show that T is a linear transformation by finding a matrix that implements the mapping. Note that x 1, x 2 ,... are not vectors but are entries in vectors. 19. T ( x 1 , x 2 , x 3 ) = ( x 1 − 5 x 2 + 4 x 3 , x 2 – 6 x 3)
In Exercises 25-28, determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify each answer.
27. The transformation in Exercise 19
In Exercises 17-20, show that T is a linear transformation by finding a matrix that implements the mapping. Note that x1, x2,... are not vectors but are entries in vectors.
19.T(x1, x2, x3) = (x1 − 5x2 + 4x3, x2 – 6x3)
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY