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## Homework Statement

symmetric 2 × 2 matrices to V.Find the determinant of the linear transformation T(M)=[1,2,2,3]M+[1,2,2,3] from the space V of symmetric 2 × 2 matrices to V.

## Homework Equations

## The Attempt at a Solution

hi this is my first post so if I break a rule please let me know so I can correct the issue. also is there some way to present the problems the way they are given in the text.

in this problem would you add the two matrices together and then multiple by a single M? for example [1,2,2,3]+[1,2,2,3]=[2,4,4,6]M=(2M*6M)-(4M*4M)=-4?