Question

Linear Alegebra: Show that the transformation t(x1,x2)=(2x1-2x2,9x1-8x2) is invertible, and find a formula for T^-1.

Step 1

To prove that the given linear transformation is invertible and to find the inverze

Step 2

To avoid suffixes, use x and y . The matrix of T has determinant not zero. So it is invertible

Step 3

T inverse is found by the standard formula fo...

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