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Find examples of a matrix such that, letting ______, we have ______ is 1-1?

User Ryan Grush
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1 Answer

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Final answer:

An example of a matrix that is 1-1 when letting ___ is the identity matrix.

Step-by-step explanation:

One example of a matrix that is 1-1 when letting ___ is the identity matrix. The identity matrix is a square matrix where all the elements on the main diagonal are 1 and all the other elements are 0.

For instance, let A be a 2x2 identity matrix:

1001

When we let x and y be vectors in R^2, the system of equations Ax = Ay would imply x = y, showing that the matrix A is 1-1.

User Deray
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