Project Using the Transformation x=[[2,4],[-3,-5]]+y , y=[[1,0],[4,3]]

Problem

x=[[2,4],[−3,−5]]+y,y=[[1,0],[4,3]]

Solution

1. Identify the given matrices and the transformation equation x=A+y where A is the first matrix and y is the second matrix.

2. Substitute the matrix y into the equation for x

x=[[2,4],[−3,−5]]+[[1,0],[4,3]]

3. Perform matrix addition by adding the corresponding elements from each matrix.

x=[[2+1,4+0],[−3+4,−5+3]]

4. Simplify the arithmetic to find the resulting matrix x

x=[[3,4],[1,−2]]

Final Answer

x=[[3,4],[1,−2]]

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