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For each part below: Is the linear transformation given below one-to-one What is

ID: 2896206 • Letter: F

Question

For each part below: Is the linear transformation given below one-to-one What is the inverse hhhhhhtransformation Determine the range of the linear transformation. W_1 = X_1 + 3X_2 - X_3 W_1 = X_1 + X_2 - X_3 W_2 = 2X_1 + 3X_2 - X_3 W_2 = X_1 - X_2 - X_3 W_3 = 5X_1 + 6X_2 - 4X_3 W_3 = 2X_1 - 3X_3 Let a linear transformation T: R^3 right arrow R^3 scale (dilate) the x and y components of a vector by a factor of 2 followed by a rotation around the x-axis of the dilated vector by theta = 30 counterclockwise. Determine the standard matrix for this

Explanation / Answer

Yes it is a one-to-one linear transformation

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