Finding the Image of a Vector In Exercises 7-10, use the standard matrix for the linear transformation T to find the image of the vector v . T ( x 1 , x 2 , x 3 , x 4 ) = ( x 1 − x 3 , x 2 − x 4 , x 3 − x 1 , x 2 + x 4 ) , v = ( 1 , 2 , 3 , − 2 )
Finding the Image of a Vector In Exercises 7-10, use the standard matrix for the linear transformation T to find the image of the vector v . T ( x 1 , x 2 , x 3 , x 4 ) = ( x 1 − x 3 , x 2 − x 4 , x 3 − x 1 , x 2 + x 4 ) , v = ( 1 , 2 , 3 , − 2 )
Solution Summary: The author explains how to find the image of the vector v=(1,2,3,-2) by using the standard matrix for a linear transformation.
Finding the Image of a Vector In Exercises 7-10, use the standard matrix for the linear transformation T to find the image of the vector
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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.
I want to learn this topic l dont know anything about it
Solve the linear system of equations attached using Gaussian elimination (not Gauss-Jordan) and back subsitution.
Remember that:
A matrix is in row echelon form if
Any row that consists only of zeros is at the bottom of the matrix.
The first non-zero entry in each other row is 1. This entry is called aleading 1.
The leading 1 of each row, after the first row, lies to the right of the leading 1 of the previous row.
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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